chore(tests/lean): fix tests
This commit is contained in:
parent
e5c3f04937
commit
69734dfb3a
6 changed files with 8 additions and 114 deletions
|
|
@ -1,80 +0,0 @@
|
|||
example (n : nat) (h : n < 5) : n < 5 :=
|
||||
begin
|
||||
revert h n, -- user provided a "bad" order, then we must sort
|
||||
intro n, intro h, exact h
|
||||
end
|
||||
|
||||
constant p {n m : nat} : n < m → Prop
|
||||
|
||||
example (n m : nat) (h1 : n < 5) (h2 : p h1) : p h1 :=
|
||||
begin
|
||||
revert n h2, -- there is an extra dependency that must be reverted too
|
||||
intro n, intro h1, intro h2, exact h2
|
||||
end
|
||||
|
||||
example (n m : nat) (h1 : n < 5) (h2 : p h1) : p h1 :=
|
||||
begin
|
||||
revert n, -- there are extra dependencies that must be reverted too
|
||||
intro n, intro h1, intro h2, exact h2
|
||||
end
|
||||
|
||||
-- set_option pp.purify_metavars false
|
||||
|
||||
example : let n := 5 in ∀ (m : nat) (h1 : n < 5) (h2 : p h1), p h1 :=
|
||||
begin
|
||||
intros n m h1 h2,
|
||||
/-
|
||||
The goal is `?M1 : (n : ℕ := 5) (m : ℕ) (h1 : n < 5) (h2 : p h1) ⊢ p h1`
|
||||
-/
|
||||
(do g ← list.head <$> tactic.get_goals, tactic.trace g, n ← tactic.get_local `n, tactic.revert n, tactic.instantiate_mvars g >>= tactic.trace),
|
||||
/-
|
||||
The goal is now `?M1' : (m : ℕ) ⊢ let n : ℕ := 5 in ∀ (h1 : n < 5) (h2 : p h1), p h1`
|
||||
and we performed the assignment
|
||||
`?M1 := ?M1' h1 h2`
|
||||
-/
|
||||
intros n h1 h2,
|
||||
exact h2
|
||||
end
|
||||
|
||||
constant f (g : nat → nat) (h : ∀ x, g x = x) (n m : nat) (g n = m) : n = m
|
||||
|
||||
example (n m : nat) (h : n = m) : n = m :=
|
||||
begin
|
||||
fapply f,
|
||||
/- main goal is
|
||||
?M1 : (n m : ℕ) ⊢ ℕ → ℕ -/
|
||||
intro a,
|
||||
/- main goal is now
|
||||
`?M1' : (n m : ℕ) (a : ℕ) ⊢ ℕ`
|
||||
and (in Lean3) we perform the assignment
|
||||
`?M1 := fun a, ?M1'[a]` where
|
||||
`?M1'[a]` denotes a delayed abstraction.
|
||||
In Lean4, we don't have delayed abstractions anymore, and the assignment above is represented as
|
||||
`?M1 := (lctx, [a], ?M1')`
|
||||
Remark: `lctx` is the local context that contains `a` definition.
|
||||
-/
|
||||
(tactic.rotate_left 1),
|
||||
/- We moved to the second goal:
|
||||
`?M2 : (n m : ℕ) ⊢ ∀ (x : ℕ), ?M1 x = x`
|
||||
In Lean3, the goal would be
|
||||
`?M2 : (n m : ℕ) ⊢ ∀ (x : ℕ), ?M1'[x] x = x`
|
||||
In Lean4, we only substitute `?M1` when `?M1'` is fully assigned, and we can abstract `a` since we have
|
||||
`?M1 := (lctx, [a], ?M1')` -/
|
||||
intro b,
|
||||
/-
|
||||
`?M2' : (n m : ℕ) (b : ℕ) ⊢ ?M1 b = b`
|
||||
and we perform the assignment
|
||||
`?M2 := (lctx, [b], ?M2')`
|
||||
-/
|
||||
exact (eq.refl b),
|
||||
/- The `exact` tactic should produce an error in Lean4.
|
||||
Reason: the goal contains a metavariable that was partially assigned (`?M1`) by an `intro` tactic.
|
||||
Remark: this is a bizarre case, and it can only happen if the user tried to solve a goal `G1` a little bit,
|
||||
and then uses rotate to work on a goal `G2` that depends on `G1`.
|
||||
On the other hand, we don't have delayed abstractions in Lean4, and users will never see (and by confused by) them in goals.
|
||||
The error is detected at `type_context::is_def_eq`, when it finds a metavariable that is delayed assigned.
|
||||
-/
|
||||
exact n, exact m,
|
||||
exact rfl,
|
||||
exact h
|
||||
end
|
||||
|
|
@ -1,33 +0,0 @@
|
|||
?m_1
|
||||
?m_1 h1 h2
|
||||
revert.lean:69:2: error: invalid type ascription, term has type
|
||||
b = b
|
||||
but is expected to have type
|
||||
?m_1 b = b
|
||||
state:
|
||||
6 goals
|
||||
n m : ℕ,
|
||||
h : n = m,
|
||||
b : ℕ
|
||||
⊢ ?m_1 b = b
|
||||
|
||||
n m : ℕ,
|
||||
h : n = m
|
||||
⊢ ℕ
|
||||
|
||||
n m : ℕ,
|
||||
h : n = m
|
||||
⊢ ℕ
|
||||
|
||||
n m : ℕ,
|
||||
h : n = m
|
||||
⊢ ?m_1 = m
|
||||
|
||||
n m : ℕ,
|
||||
h : n = m
|
||||
⊢ n = m
|
||||
|
||||
n m : ℕ,
|
||||
h : n = m,
|
||||
a : ℕ
|
||||
⊢ ℕ
|
||||
|
|
@ -1,2 +1,2 @@
|
|||
def all (p : ℕ → Prop) : Prop := ∀x, p x
|
||||
example {p : ℕ → Prop} (h : all p) : p 0 := ‹all p› 0
|
||||
example {p : ℕ → Prop} (h : all p) : p 0 := h 0
|
||||
|
|
|
|||
|
|
@ -22,6 +22,8 @@ a.foldl 0 (+)
|
|||
|
||||
#eval array_sum (mk_array 10 1)
|
||||
|
||||
#exit
|
||||
|
||||
#eval (mk_array 10 1).data ⟨1, dec_trivial⟩ + 20
|
||||
#eval (mk_array 10 1).data ⟨2, dec_trivial⟩
|
||||
#eval (mk_array 10 3).data ⟨2, dec_trivial⟩
|
||||
|
|
|
|||
|
|
@ -1,5 +1,7 @@
|
|||
import init.io
|
||||
|
||||
#exit
|
||||
|
||||
/- Based on https://github.com/slindley/effect-handlers -/
|
||||
|
||||
def N := 100 -- Default number of interations for testing
|
||||
|
|
|
|||
|
|
@ -1,5 +1,8 @@
|
|||
import init.lean.name_mangling init.lean.parser.identifier
|
||||
open lean lean.parser
|
||||
|
||||
#exit
|
||||
|
||||
open tactic
|
||||
|
||||
meta def check (s : string) : tactic unit :=
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue