81 lines
1.4 KiB
Text
81 lines
1.4 KiB
Text
import Lean
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open Lean
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open Lean.Meta
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def tst (declName : Name) : MetaM Unit := do
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IO.println (← getEqnsFor? declName)
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#eval tst ``List.map
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#check @List.map.eq_1
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#check @List.map.eq_2
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def foo (xs ys zs : List Nat) : List Nat :=
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match (xs, ys) with
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| (xs', ys') =>
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match zs with
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| z::zs => foo xs ys zs
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| _ => match ys' with
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| [] => [1]
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| _ => [2]
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#eval tst ``foo
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#check foo.eq_1
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#check foo.eq_2
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#eval tst ``foo
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def g : List Nat → List Nat → Nat
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| [], y::ys => y
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| [], ys => 0
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| [x1], ys => g [] ys
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| x::xs, y::ys => g xs ys + y
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| x::xs, [] => g xs []
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#eval tst ``g
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#check g.eq_1
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#check g.eq_2
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#check g.eq_3
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#check g.eq_4
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#check g.eq_5
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def h (xs : List Nat) (y : Nat) : Nat :=
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match xs with
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| [] => y
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| x::xs =>
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match y with
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| 0 => h xs 10
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| y+1 => h xs y
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#eval tst ``h
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#check h.eq_1
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#check h.eq_2
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#check h.eq_3
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def r (i j : Nat) : Nat :=
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i +
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match j with
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| Nat.zero => 1
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| Nat.succ j =>
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i * match j with
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| Nat.zero => 2
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| Nat.succ j => r i j
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#eval tst ``r
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#check r.eq_1
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#check r.eq_2
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#check r.eq_3
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def bla (f g : α → α → α) (a : α) (i : α) (j : Nat) : α :=
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f i <|
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match j with
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| Nat.zero => i
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| Nat.succ j =>
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g i <| match j with
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| Nat.zero => a
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| Nat.succ j => bla f g a i j
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#eval tst ``bla
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#check @bla.eq_1
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#check @bla.eq_2
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#check @bla.eq_3
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