65 lines
1 KiB
Text
65 lines
1 KiB
Text
universe variable u
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def f (a : nat) (o : nat := 5) :=
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a + o
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example : f 1 = f 1 5 :=
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rfl
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#check f 1
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structure config :=
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(v1 := 10)
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(v2 := 20)
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(flag := tt)
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(ps := ["hello", "world"])
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def g (a : nat) (c : config := {}) : nat :=
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if c^.flag then a + c^.v1 else a + c^.v2
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example : g 1 = 11 :=
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rfl
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example : g 1 {flag := ff} = 21 :=
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rfl
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example : g 1 {v1 := 100} = 101 :=
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rfl
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def h (a : nat) (c : config := {v1 := a}) : nat :=
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g a c
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example : h 2 = 4 :=
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rfl
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example : h 3 = 6 :=
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rfl
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example : h 2 {flag := ff} = 22 :=
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rfl
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def boo (a : nat) (b : nat := a) (c : bool := ff) (d : config := {v2 := b, flag := c}) :=
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g a d
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#check boo 2
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example : boo 2 = 4 :=
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rfl
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example : boo 2 20 = 22 :=
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rfl
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example : boo 2 0 tt = 12 :=
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rfl
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open tactic
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set_option pp.all true
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meta def check_expr (p : pexpr) (t : expr) : tactic unit :=
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do e ← to_expr p, guard (t = e)
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run_cmd do
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e ← to_expr `(boo 2),
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check_expr `(boo 2 (2:nat) ff {v1 := config.v1._default, v2 := 2, flag := ff, ps := config.ps._default}) e,
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e ← to_expr `(f 1),
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check_expr `(f 1 (5:nat)) e
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