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new tests, minor adjustments #2

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merged 1 commit into from Apr 12, 2019
Merged

new tests, minor adjustments #2

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15 changes: 5 additions & 10 deletions src/norm_coe.lean
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Expand Up @@ -65,7 +65,7 @@ do
) <|> add_decl (declaration.thm new_n l ty task_e)

private meta def mk_cache : list name → tactic simp_lemmas :=
monad.foldl (λ s, s.add_simp ∘ new_name) simp_lemmas.mk
monad.foldl (λ s, s.add_simp ∘ new_name) simp_lemmas.mk

@[user_attribute]
meta def norm_coe_attr : user_attribute simp_lemmas :=
Expand Down Expand Up @@ -94,8 +94,8 @@ meta def simp_coe_attr : user_attribute simp_lemmas :=
meta def post_aux : expr → tactic (expr × expr)
| e@(expr.app (expr.app op x) y) :=
do
`(@coe %%α %%δ %%coe1 %%xx) ← return x | failed,
`(@coe %%β %%γ %%coe2 %%yy) ← return y | failed,
`(@coe %%α %%δ %%coe1 %%xx) ← return x,
`(@coe %%β %%γ %%coe2 %%yy) ← return y,
is_def_eq δ γ,

(do
Expand Down Expand Up @@ -135,12 +135,7 @@ meta def post (e : expr) : tactic (expr × expr) :=
do
(tmp_e, pr1) ← post_aux e <|> prod.mk e <$> mk_eq_refl e,

ty ← infer_type e,
let r := match ty with
| (expr.sort zero) := `iff
| _ := `eq
end,

r ← mcond (is_prop e) (return `iff) (return `eq),
s ← norm_coe_attr.get_cache,
(new_e, pr2) ← s.rewrite tmp_e failed r,

Expand Down Expand Up @@ -185,7 +180,7 @@ open tactic interactive interactive.types
open norm_coe

meta def assumption_mod_coe : tactic unit :=
tactic.assumption_mod_coe
tactic.assumption_mod_coe

meta def norm_coe1 (loc : parse location) : tactic unit :=
do
Expand Down
4 changes: 4 additions & 0 deletions src/tests.lean
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Expand Up @@ -37,5 +37,9 @@ by {norm_coe1, refl}
example : (an : ℤ) = 1 → an = 1 := by {intro, assumption_mod_coe}
example : (an : ℤ) < 5 → an < 5 := by {intro, assumption_mod_coe}
example : an < 5 → (an : ℤ) < 5 := by {intro, assumption_mod_coe}
example : (an + 5) < 10 → (an : ℤ) + 5 < 10 := by {intro, assumption_mod_coe}
example : (an : ℤ) + 5 < 10 → (an + 5) < 10 := by {intro, assumption_mod_coe}
example : ((an + 5 : ℕ) : ℤ) < 10 → an + 5 < 10 := by {intro, assumption_mod_coe}
example : an + 5 < 10 → ((an + 5 : ℕ) : ℤ) < 10 := by {intro, assumption_mod_coe}

example : 1 = (az : ℚ) / (bz : ℚ) ↔ 1 = (az : ℝ) / (bz : ℝ) := sorry