27 lines
717 B
Text
27 lines
717 B
Text
def f (a : nat) (b : nat := a) (c : nat := a) :=
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a + b + c
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lemma ex1 (a a' b c d : nat) (h : b = c) (h2 : a = a') : f a b d = f a' c d :=
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by cc
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lemma ex2 (a a' b c d : nat) (h : b = c) (h2 : a = a') : f a b d = f a' c d :=
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by rw [h, h2]
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set_option pp.beta true
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set_option pp.all true
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lemma ex3 (a a' b c d : nat) (h : b = c) (h2 : a = a') : f a b d = f a' c d :=
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begin
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simp [h, h2],
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end
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open tactic
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run_cmd do c ← mk_const `f, get_fun_info c >>= trace
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run_cmd do c ← mk_const `eq, get_fun_info c >>= trace
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run_cmd do c ← mk_const `id, get_fun_info c >>= trace
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set_option trace.congr_lemma true
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set_option trace.app_builder true
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run_cmd do h ← mk_const `f, l ← mk_congr_lemma_simp h, trace l^.type
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