feat: add sizeOf spec lemmas as simp theorems

This commit is contained in:
Leonardo de Moura 2022-01-17 16:14:38 -08:00
parent 8f47043aee
commit de11f7e1bc
5 changed files with 132 additions and 126 deletions

View file

@ -25,9 +25,13 @@ protected def default.sizeOf (α : Sort u) : α → Nat
instance (priority := low) (α : Sort u) : SizeOf α where
sizeOf := default.sizeOf α
@[simp] theorem sizeOf_default (n : α) : sizeOf n = 0 := rfl
instance : SizeOf Nat where
sizeOf n := n
@[simp] theorem sizeOf_nat (n : Nat) : sizeOf n = n := rfl
deriving instance SizeOf for Prod
deriving instance SizeOf for PUnit
deriving instance SizeOf for Bool

View file

@ -8,7 +8,7 @@ import Init.SizeOf
import Init.WF
macro "decreasing_tactic" : tactic =>
`((simp [invImage, InvImage, Prod.lex, sizeOfWFRel, measure, Nat.lt_wfRel, sizeOf, WellFoundedRelation.rel];
`((simp [invImage, InvImage, Prod.lex, sizeOfWFRel, measure, Nat.lt_wfRel, WellFoundedRelation.rel]
repeat (first | apply Prod.Lex.right | apply Prod.Lex.left)
repeat (first | apply PSigma.Lex.right | apply PSigma.Lex.left)
first

View file

@ -393,6 +393,7 @@ end SizeOfSpecNested
private def mkSizeOfSpecTheorem (indInfo : InductiveVal) (sizeOfFns : Array Name) (recMap : NameMap Name) (ctorName : Name) : MetaM Unit := do
let ctorInfo ← getConstInfoCtor ctorName
let us := ctorInfo.levelParams.map mkLevelParam
let simpAttr ← ofExcept <| getAttributeImpl (← getEnv) `simp
forallTelescopeReducing ctorInfo.type fun xs _ => do
let params := xs[:ctorInfo.numParams]
let fields := xs[ctorInfo.numParams:]
@ -422,6 +423,7 @@ private def mkSizeOfSpecTheorem (indInfo : InductiveVal) (sizeOfFns : Array Name
type := thmType
value := thmValue
}
simpAttr.add thmName default AttributeKind.global
private def mkSizeOfSpecTheorems (indTypeNames : Array Name) (sizeOfFns : Array Name) (recMap : NameMap Name) : MetaM Unit := do
for indTypeName in indTypeNames do

View file

@ -1,6 +1,6 @@
[Elab.info] command @ ⟨13, 0⟩-⟨15, 6⟩ @ Lean.Elab.Command.elabDeclaration
Nat : Type @ ⟨13, 11⟩-⟨13, 14⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.405} @ ⟨13, 11⟩-⟨13, 14⟩
[.] `Nat : some Sort.{?_uniq.419} @ ⟨13, 11⟩-⟨13, 14⟩
Nat : Type @ ⟨13, 11⟩-⟨13, 14⟩
x : Nat @ ⟨13, 7⟩-⟨13, 8⟩
Nat × Nat : Type @ ⟨13, 18⟩-⟨13, 27⟩ @ «_aux_Init_Notation___macroRules_term_×__1»
@ -11,10 +11,10 @@
Nat × Nat : Type @ ⟨13, 18⟩†-⟨13, 27⟩ @ Lean.Elab.Term.elabApp
Prod : Type → Type → Type @ ⟨13, 18⟩†-⟨13, 27⟩†
Nat : Type @ ⟨13, 18⟩-⟨13, 21⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Type.{?_uniq.409} @ ⟨13, 18⟩-⟨13, 21⟩
[.] `Nat : some Type.{?_uniq.423} @ ⟨13, 18⟩-⟨13, 21⟩
Nat : Type @ ⟨13, 18⟩-⟨13, 21⟩
Nat : Type @ ⟨13, 24⟩-⟨13, 27⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Type.{?_uniq.408} @ ⟨13, 24⟩-⟨13, 27⟩
[.] `Nat : some Type.{?_uniq.422} @ ⟨13, 24⟩-⟨13, 27⟩
Nat : Type @ ⟨13, 24⟩-⟨13, 27⟩
x : Nat @ ⟨13, 7⟩-⟨13, 8⟩
let y := (x, x);
@ -41,16 +41,16 @@
[Elab.info] command @ ⟨17, 0⟩-⟨19, 8⟩ @ Lean.Elab.Command.elabDeclaration
∀ (x y : Nat), Bool → x + 0 = x : Prop @ ⟨17, 8⟩-⟨17, 44⟩ @ Lean.Elab.Term.elabDepArrow
Nat : Type @ ⟨17, 15⟩-⟨17, 18⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.436} @ ⟨17, 15⟩-⟨17, 18⟩
[.] `Nat : some Sort.{?_uniq.450} @ ⟨17, 15⟩-⟨17, 18⟩
Nat : Type @ ⟨17, 15⟩-⟨17, 18⟩
x : Nat @ ⟨17, 9⟩-⟨17, 10⟩
Nat : Type @ ⟨17, 15⟩-⟨17, 18⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.438} @ ⟨17, 15⟩-⟨17, 18⟩
[.] `Nat : some Sort.{?_uniq.452} @ ⟨17, 15⟩-⟨17, 18⟩
Nat : Type @ ⟨17, 15⟩-⟨17, 18⟩
y : Nat @ ⟨17, 11⟩-⟨17, 12⟩
Bool → x + 0 = x : Prop @ ⟨17, 22⟩-⟨17, 44⟩ @ Lean.Elab.Term.elabDepArrow
Bool : Type @ ⟨17, 27⟩-⟨17, 31⟩ @ Lean.Elab.Term.elabIdent
[.] `Bool : some Sort.{?_uniq.441} @ ⟨17, 27⟩-⟨17, 31⟩
[.] `Bool : some Sort.{?_uniq.455} @ ⟨17, 27⟩-⟨17, 31⟩
Bool : Type @ ⟨17, 27⟩-⟨17, 31⟩
b : Bool @ ⟨17, 23⟩-⟨17, 24⟩
x + 0 = x : Prop @ ⟨17, 35⟩-⟨17, 44⟩ @ «_aux_Init_Notation___macroRules_term_=__2»
@ -112,20 +112,20 @@
[Elab.info] command @ ⟨21, 0⟩-⟨25, 10⟩ @ Lean.Elab.Command.elabDeclaration
Nat → Nat → Bool → Nat : Type @ ⟨21, 9⟩-⟨21, 39⟩ @ Lean.Elab.Term.elabDepArrow
Nat : Type @ ⟨21, 16⟩-⟨21, 19⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.550} @ ⟨21, 16⟩-⟨21, 19⟩
[.] `Nat : some Sort.{?_uniq.564} @ ⟨21, 16⟩-⟨21, 19⟩
Nat : Type @ ⟨21, 16⟩-⟨21, 19⟩
x : Nat @ ⟨21, 10⟩-⟨21, 11⟩
Nat : Type @ ⟨21, 16⟩-⟨21, 19⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.552} @ ⟨21, 16⟩-⟨21, 19⟩
[.] `Nat : some Sort.{?_uniq.566} @ ⟨21, 16⟩-⟨21, 19⟩
Nat : Type @ ⟨21, 16⟩-⟨21, 19⟩
y : Nat @ ⟨21, 12⟩-⟨21, 13⟩
Bool → Nat : Type @ ⟨21, 23⟩-⟨21, 39⟩ @ Lean.Elab.Term.elabDepArrow
Bool : Type @ ⟨21, 28⟩-⟨21, 32⟩ @ Lean.Elab.Term.elabIdent
[.] `Bool : some Sort.{?_uniq.555} @ ⟨21, 28⟩-⟨21, 32⟩
[.] `Bool : some Sort.{?_uniq.569} @ ⟨21, 28⟩-⟨21, 32⟩
Bool : Type @ ⟨21, 28⟩-⟨21, 32⟩
b : Bool @ ⟨21, 24⟩-⟨21, 25⟩
Nat : Type @ ⟨21, 36⟩-⟨21, 39⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.557} @ ⟨21, 36⟩-⟨21, 39⟩
[.] `Nat : some Sort.{?_uniq.571} @ ⟨21, 36⟩-⟨21, 39⟩
Nat : Type @ ⟨21, 36⟩-⟨21, 39⟩
fun x y b =>
let x := (x + y, x - y);
@ -238,10 +238,10 @@
Nat × Array (Array Nat) : Type @ ⟨27, 12⟩†-⟨27, 35⟩ @ Lean.Elab.Term.elabApp
Prod : Type → Type → Type @ ⟨27, 12⟩†-⟨27, 35⟩†
Nat : Type @ ⟨27, 12⟩-⟨27, 15⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Type.{?_uniq.755} @ ⟨27, 12⟩-⟨27, 15⟩
[.] `Nat : some Type.{?_uniq.769} @ ⟨27, 12⟩-⟨27, 15⟩
Nat : Type @ ⟨27, 12⟩-⟨27, 15⟩
Array (Array Nat) : Type @ ⟨27, 18⟩-⟨27, 35⟩ @ Lean.Elab.Term.elabApp
[.] `Array : some Type.{?_uniq.754} @ ⟨27, 18⟩-⟨27, 23⟩
[.] `Array : some Type.{?_uniq.768} @ ⟨27, 18⟩-⟨27, 23⟩
Array : Type → Type @ ⟨27, 18⟩-⟨27, 23⟩
Array Nat : Type @ ⟨27, 24⟩-⟨27, 35⟩ @ Lean.Elab.Term.expandParen
Macro expansion
@ -249,17 +249,17 @@
===>
Array Nat
Array Nat : Type @ ⟨27, 25⟩-⟨27, 34⟩ @ Lean.Elab.Term.elabApp
[.] `Array : some Type.{?_uniq.756} @ ⟨27, 25⟩-⟨27, 30⟩
[.] `Array : some Type.{?_uniq.770} @ ⟨27, 25⟩-⟨27, 30⟩
Array : Type → Type @ ⟨27, 25⟩-⟨27, 30⟩
Nat : Type @ ⟨27, 31⟩-⟨27, 34⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Type.{?_uniq.757} @ ⟨27, 31⟩-⟨27, 34⟩
[.] `Nat : some Type.{?_uniq.771} @ ⟨27, 31⟩-⟨27, 34⟩
Nat : Type @ ⟨27, 31⟩-⟨27, 34⟩
s : Nat × Array (Array Nat) @ ⟨27, 8⟩-⟨27, 9⟩
Array Nat : Type @ ⟨27, 39⟩-⟨27, 48⟩ @ Lean.Elab.Term.elabApp
[.] `Array : some Sort.{?_uniq.759} @ ⟨27, 39⟩-⟨27, 44⟩
[.] `Array : some Sort.{?_uniq.773} @ ⟨27, 39⟩-⟨27, 44⟩
Array : Type → Type @ ⟨27, 39⟩-⟨27, 44⟩
Nat : Type @ ⟨27, 45⟩-⟨27, 48⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Type.{?_uniq.760} @ ⟨27, 45⟩-⟨27, 48⟩
[.] `Nat : some Type.{?_uniq.774} @ ⟨27, 45⟩-⟨27, 48⟩
Nat : Type @ ⟨27, 45⟩-⟨27, 48⟩
s : Nat × Array (Array Nat) @ ⟨27, 8⟩-⟨27, 9⟩
Array.push (Array.getOp s.snd 1) s.fst : Array Nat @ ⟨28, 2⟩-⟨28, 17⟩ @ Lean.Elab.Term.elabApp
@ -275,11 +275,11 @@
f3 : Nat × Array (Array Nat) → Array Nat @ ⟨27, 4⟩-⟨27, 6⟩
[Elab.info] command @ ⟨30, 0⟩-⟨31, 20⟩ @ Lean.Elab.Command.elabDeclaration
B : Type @ ⟨30, 14⟩-⟨30, 15⟩ @ Lean.Elab.Term.elabIdent
[.] `B : some Sort.{?_uniq.803} @ ⟨30, 14⟩-⟨30, 15⟩
[.] `B : some Sort.{?_uniq.817} @ ⟨30, 14⟩-⟨30, 15⟩
B : Type @ ⟨30, 14⟩-⟨30, 15⟩
arg : B @ ⟨30, 8⟩-⟨30, 11⟩
Nat : Type @ ⟨30, 19⟩-⟨30, 22⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.805} @ ⟨30, 19⟩-⟨30, 22⟩
[.] `Nat : some Sort.{?_uniq.819} @ ⟨30, 19⟩-⟨30, 22⟩
Nat : Type @ ⟨30, 19⟩-⟨30, 22⟩
arg : B @ ⟨30, 8⟩-⟨30, 11⟩
A.val arg.pair.fst 0 : Nat @ ⟨31, 2⟩-⟨31, 20⟩ @ Lean.Elab.Term.elabApp
@ -294,11 +294,11 @@
f4 : B → Nat @ ⟨30, 4⟩-⟨30, 6⟩
[Elab.info] command @ ⟨33, 0⟩-⟨35, 1⟩ @ Lean.Elab.Command.elabDeclaration
Nat : Type @ ⟨33, 12⟩-⟨33, 15⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.827} @ ⟨33, 12⟩-⟨33, 15⟩
[.] `Nat : some Sort.{?_uniq.841} @ ⟨33, 12⟩-⟨33, 15⟩
Nat : Type @ ⟨33, 12⟩-⟨33, 15⟩
x : Nat @ ⟨33, 8⟩-⟨33, 9⟩
B : Type @ ⟨33, 19⟩-⟨33, 20⟩ @ Lean.Elab.Term.elabIdent
[.] `B : some Sort.{?_uniq.829} @ ⟨33, 19⟩-⟨33, 20⟩
[.] `B : some Sort.{?_uniq.843} @ ⟨33, 19⟩-⟨33, 20⟩
B : Type @ ⟨33, 19⟩-⟨33, 20⟩
x : Nat @ ⟨33, 8⟩-⟨33, 9⟩
{ pair := ({ val := id }, { val := id }) } : B @ ⟨33, 24⟩-⟨35, 1⟩ @ Lean.Elab.Term.StructInst.elabStructInst
@ -338,57 +338,57 @@ infoTree.lean:44:0: error: expected stx
[.] (Command.set_option "set_option" `pp.raw) @ ⟨44, 0⟩-⟨44, 17⟩
[Elab.info] command @ ⟨45, 0⟩-⟨47, 8⟩ @ Lean.Elab.Command.elabDeclaration
Nat : Type @ ⟨45, 14⟩-⟨45, 17⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.850} @ ⟨45, 14⟩-⟨45, 17⟩
[.] `Nat : some Sort.{?_uniq.864} @ ⟨45, 14⟩-⟨45, 17⟩
Nat : Type @ ⟨45, 14⟩-⟨45, 17⟩
_uniq.851 : Nat @ ⟨45, 8⟩-⟨45, 9⟩
_uniq.865 : Nat @ ⟨45, 8⟩-⟨45, 9⟩
Nat : Type @ ⟨45, 14⟩-⟨45, 17⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.852} @ ⟨45, 14⟩-⟨45, 17⟩
[.] `Nat : some Sort.{?_uniq.866} @ ⟨45, 14⟩-⟨45, 17⟩
Nat : Type @ ⟨45, 14⟩-⟨45, 17⟩
_uniq.853 : Nat @ ⟨45, 10⟩-⟨45, 11⟩
Eq.{1} Nat _uniq.851 _uniq.851 : Prop @ ⟨45, 21⟩-⟨45, 26⟩ @ «_aux_Init_Notation___macroRules_term_=__2»
_uniq.867 : Nat @ ⟨45, 10⟩-⟨45, 11⟩
Eq.{1} Nat _uniq.865 _uniq.865 : Prop @ ⟨45, 21⟩-⟨45, 26⟩ @ «_aux_Init_Notation___macroRules_term_=__2»
Macro expansion
(«term_=_» `x "=" `x)
===>
(Term.binrel "binrel%" `Eq._@.infoTree._hyg.177 `x `x)
Eq.{1} Nat _uniq.851 _uniq.851 : Prop @ ⟨45, 21⟩†-⟨45, 26⟩ @ Lean.Elab.Term.elabBinRel
_uniq.851 : Nat @ ⟨45, 21⟩-⟨45, 22⟩ @ Lean.Elab.Term.elabIdent
_uniq.851 : Nat @ ⟨45, 21⟩-⟨45, 22⟩
_uniq.851 : Nat @ ⟨45, 25⟩-⟨45, 26⟩ @ Lean.Elab.Term.elabIdent
_uniq.851 : Nat @ ⟨45, 25⟩-⟨45, 26⟩
_uniq.860 : Nat @ ⟨45, 8⟩-⟨45, 9⟩
_uniq.861 : Nat @ ⟨45, 10⟩-⟨45, 11⟩
(fun (f7 : forall (x : Nat), Nat -> (Eq.{1} Nat x x)) => [mdata _recApp: f7 _uniq.860 _uniq.861]) f6.f7 : Eq.{1} Nat _uniq.860 _uniq.860 @ ⟨46, 2⟩-⟨47, 8⟩ @ Lean.Elab.Term.elabLetRec
Eq.{1} Nat _uniq.865 _uniq.865 : Prop @ ⟨45, 21⟩†-⟨45, 26⟩ @ Lean.Elab.Term.elabBinRel
_uniq.865 : Nat @ ⟨45, 21⟩-⟨45, 22⟩ @ Lean.Elab.Term.elabIdent
_uniq.865 : Nat @ ⟨45, 21⟩-⟨45, 22⟩
_uniq.865 : Nat @ ⟨45, 25⟩-⟨45, 26⟩ @ Lean.Elab.Term.elabIdent
_uniq.865 : Nat @ ⟨45, 25⟩-⟨45, 26⟩
_uniq.874 : Nat @ ⟨45, 8⟩-⟨45, 9⟩
_uniq.875 : Nat @ ⟨45, 10⟩-⟨45, 11⟩
(fun (f7 : forall (x : Nat), Nat -> (Eq.{1} Nat x x)) => [mdata _recApp: f7 _uniq.874 _uniq.875]) f6.f7 : Eq.{1} Nat _uniq.874 _uniq.874 @ ⟨46, 2⟩-⟨47, 8⟩ @ Lean.Elab.Term.elabLetRec
Nat : Type @ ⟨46, 20⟩-⟨46, 23⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.862} @ ⟨46, 20⟩-⟨46, 23⟩
[.] `Nat : some Sort.{?_uniq.876} @ ⟨46, 20⟩-⟨46, 23⟩
Nat : Type @ ⟨46, 20⟩-⟨46, 23⟩
_uniq.863 : Nat @ ⟨46, 14⟩-⟨46, 15⟩
_uniq.877 : Nat @ ⟨46, 14⟩-⟨46, 15⟩
Nat : Type @ ⟨46, 20⟩-⟨46, 23⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.864} @ ⟨46, 20⟩-⟨46, 23⟩
[.] `Nat : some Sort.{?_uniq.878} @ ⟨46, 20⟩-⟨46, 23⟩
Nat : Type @ ⟨46, 20⟩-⟨46, 23⟩
_uniq.865 : Nat @ ⟨46, 16⟩-⟨46, 17⟩
Eq.{1} Nat _uniq.863 _uniq.863 : Prop @ ⟨46, 27⟩-⟨46, 32⟩ @ «_aux_Init_Notation___macroRules_term_=__2»
_uniq.879 : Nat @ ⟨46, 16⟩-⟨46, 17⟩
Eq.{1} Nat _uniq.877 _uniq.877 : Prop @ ⟨46, 27⟩-⟨46, 32⟩ @ «_aux_Init_Notation___macroRules_term_=__2»
Macro expansion
(«term_=_» `x "=" `x)
===>
(Term.binrel "binrel%" `Eq._@.infoTree._hyg.185 `x `x)
Eq.{1} Nat _uniq.863 _uniq.863 : Prop @ ⟨46, 27⟩†-⟨46, 32⟩ @ Lean.Elab.Term.elabBinRel
_uniq.863 : Nat @ ⟨46, 27⟩-⟨46, 28⟩ @ Lean.Elab.Term.elabIdent
_uniq.863 : Nat @ ⟨46, 27⟩-⟨46, 28⟩
_uniq.863 : Nat @ ⟨46, 31⟩-⟨46, 32⟩ @ Lean.Elab.Term.elabIdent
_uniq.863 : Nat @ ⟨46, 31⟩-⟨46, 32⟩
_uniq.870 : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨46, 10⟩-⟨46, 12⟩
_uniq.873 : Nat @ ⟨46, 14⟩-⟨46, 15⟩
_uniq.874 : Nat @ ⟨46, 16⟩-⟨46, 17⟩
Eq.refl.{1} Nat _uniq.873 : Eq.{1} Nat _uniq.873 _uniq.873 @ ⟨46, 36⟩-⟨46, 45⟩ @ Lean.Elab.Term.elabApp
[.] `Eq.refl : some Eq.{?_uniq.867} Nat _uniq.873 _uniq.873 @ ⟨46, 36⟩-⟨46, 43⟩
Eq.{1} Nat _uniq.877 _uniq.877 : Prop @ ⟨46, 27⟩†-⟨46, 32⟩ @ Lean.Elab.Term.elabBinRel
_uniq.877 : Nat @ ⟨46, 27⟩-⟨46, 28⟩ @ Lean.Elab.Term.elabIdent
_uniq.877 : Nat @ ⟨46, 27⟩-⟨46, 28⟩
_uniq.877 : Nat @ ⟨46, 31⟩-⟨46, 32⟩ @ Lean.Elab.Term.elabIdent
_uniq.877 : Nat @ ⟨46, 31⟩-⟨46, 32⟩
_uniq.884 : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨46, 10⟩-⟨46, 12⟩
_uniq.887 : Nat @ ⟨46, 14⟩-⟨46, 15⟩
_uniq.888 : Nat @ ⟨46, 16⟩-⟨46, 17⟩
Eq.refl.{1} Nat _uniq.887 : Eq.{1} Nat _uniq.887 _uniq.887 @ ⟨46, 36⟩-⟨46, 45⟩ @ Lean.Elab.Term.elabApp
[.] `Eq.refl : some Eq.{?_uniq.881} Nat _uniq.887 _uniq.887 @ ⟨46, 36⟩-⟨46, 43⟩
Eq.refl.{1} : forall {α : Type} (a : α), Eq.{1} α a a @ ⟨46, 36⟩-⟨46, 43⟩
_uniq.873 : Nat @ ⟨46, 44⟩-⟨46, 45⟩ @ Lean.Elab.Term.elabIdent
_uniq.873 : Nat @ ⟨46, 44⟩-⟨46, 45⟩
[mdata _recApp: _uniq.870 _uniq.860 _uniq.861] : Eq.{1} Nat _uniq.860 _uniq.860 @ ⟨47, 2⟩-⟨47, 8⟩ @ Lean.Elab.Term.elabApp
_uniq.870 : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨47, 2⟩-⟨47, 4⟩
_uniq.860 : Nat @ ⟨47, 5⟩-⟨47, 6⟩ @ Lean.Elab.Term.elabIdent
_uniq.860 : Nat @ ⟨47, 5⟩-⟨47, 6⟩
_uniq.861 : Nat @ ⟨47, 7⟩-⟨47, 8⟩ @ Lean.Elab.Term.elabIdent
_uniq.861 : Nat @ ⟨47, 7⟩-⟨47, 8⟩
_uniq.887 : Nat @ ⟨46, 44⟩-⟨46, 45⟩ @ Lean.Elab.Term.elabIdent
_uniq.887 : Nat @ ⟨46, 44⟩-⟨46, 45⟩
[mdata _recApp: _uniq.884 _uniq.874 _uniq.875] : Eq.{1} Nat _uniq.874 _uniq.874 @ ⟨47, 2⟩-⟨47, 8⟩ @ Lean.Elab.Term.elabApp
_uniq.884 : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨47, 2⟩-⟨47, 4⟩
_uniq.874 : Nat @ ⟨47, 5⟩-⟨47, 6⟩ @ Lean.Elab.Term.elabIdent
_uniq.874 : Nat @ ⟨47, 5⟩-⟨47, 6⟩
_uniq.875 : Nat @ ⟨47, 7⟩-⟨47, 8⟩ @ Lean.Elab.Term.elabIdent
_uniq.875 : Nat @ ⟨47, 7⟩-⟨47, 8⟩
f6.f7 : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨46, 10⟩-⟨46, 45⟩
f6 : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨45, 4⟩-⟨45, 6⟩

View file

@ -1,3 +1,72 @@
jason1.lean:48:125-48:130: error: don't know how to synthesize implicit argument
@EGrfl
(getCtx
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝))))
context:
G T Tm : Type
EG : G → G → Type
ET : T → T → Type
ETm : Tm → Tm → Type
EGrfl : {Γ : G} → EG Γ Γ
getCtx : T → G
getTy : Tm → T
GAlgebra : CtxSyntaxLayer G T EG getCtx → G
TAlgebra : TySyntaxLayer G T EG getCtx → T
x✝¹ : TmSyntaxLayer G T Tm EG ET getCtx getTy TAlgebra
x✝ : G
⊢ G
jason1.lean:46:40-46:57: error: don't know how to synthesize implicit argument
@TySyntaxLayer.top G T EG getCtx (?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)
context:
G T Tm : Type
EG : G → G → Type
ET : T → T → Type
ETm : Tm → Tm → Type
EGrfl : {Γ : G} → EG Γ Γ
getCtx : T → G
getTy : Tm → T
GAlgebra : CtxSyntaxLayer G T EG getCtx → G
TAlgebra : TySyntaxLayer G T EG getCtx → T
x✝¹ : TmSyntaxLayer G T Tm EG ET getCtx getTy TAlgebra
x✝ : G
⊢ G
jason1.lean:48:41-48:130: error: don't know how to synthesize implicit argument
@TySyntaxLayer.arrow G T EG getCtx
(getCtx
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝))))
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)))
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)))
(@EGrfl
(getCtx
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)))))
(@EGrfl
(getCtx
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)))))
context:
G T Tm : Type
EG : G → G → Type
ET : T → T → Type
ETm : Tm → Tm → Type
EGrfl : {Γ : G} → EG Γ Γ
getCtx : T → G
getTy : Tm → T
GAlgebra : CtxSyntaxLayer G T EG getCtx → G
TAlgebra : TySyntaxLayer G T EG getCtx → T
x✝¹ : TmSyntaxLayer G T Tm EG ET getCtx getTy TAlgebra
x✝ : G
⊢ G
jason1.lean:47:40-47:57: error: don't know how to synthesize implicit argument
@TySyntaxLayer.nat G T EG getCtx (?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)
context:
@ -62,72 +131,3 @@ TAlgebra : TySyntaxLayer G T EG getCtx → T
x✝¹ : TmSyntaxLayer G T Tm EG ET getCtx getTy TAlgebra
x✝ : G
⊢ G
jason1.lean:46:40-46:57: error: don't know how to synthesize implicit argument
@TySyntaxLayer.top G T EG getCtx (?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)
context:
G T Tm : Type
EG : G → G → Type
ET : T → T → Type
ETm : Tm → Tm → Type
EGrfl : {Γ : G} → EG Γ Γ
getCtx : T → G
getTy : Tm → T
GAlgebra : CtxSyntaxLayer G T EG getCtx → G
TAlgebra : TySyntaxLayer G T EG getCtx → T
x✝¹ : TmSyntaxLayer G T Tm EG ET getCtx getTy TAlgebra
x✝ : G
⊢ G
jason1.lean:48:125-48:130: error: don't know how to synthesize implicit argument
@EGrfl
(getCtx
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝))))
context:
G T Tm : Type
EG : G → G → Type
ET : T → T → Type
ETm : Tm → Tm → Type
EGrfl : {Γ : G} → EG Γ Γ
getCtx : T → G
getTy : Tm → T
GAlgebra : CtxSyntaxLayer G T EG getCtx → G
TAlgebra : TySyntaxLayer G T EG getCtx → T
x✝¹ : TmSyntaxLayer G T Tm EG ET getCtx getTy TAlgebra
x✝ : G
⊢ G
jason1.lean:48:41-48:130: error: don't know how to synthesize implicit argument
@TySyntaxLayer.arrow G T EG getCtx
(getCtx
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝))))
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)))
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)))
(@EGrfl
(getCtx
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)))))
(@EGrfl
(getCtx
(TAlgebra
(@TySyntaxLayer.nat G T EG getCtx
(?m G T Tm EG ET ETm EGrfl getCtx getTy GAlgebra TAlgebra getTyStep x✝¹ x✝)))))
context:
G T Tm : Type
EG : G → G → Type
ET : T → T → Type
ETm : Tm → Tm → Type
EGrfl : {Γ : G} → EG Γ Γ
getCtx : T → G
getTy : Tm → T
GAlgebra : CtxSyntaxLayer G T EG getCtx → G
TAlgebra : TySyntaxLayer G T EG getCtx → T
x✝¹ : TmSyntaxLayer G T Tm EG ET getCtx getTy TAlgebra
x✝ : G
⊢ G