20 lines
742 B
Text
20 lines
742 B
Text
attribute [reducible]
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definition nat_has_add2 : has_add nat :=
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has_add.mk (λ x y : nat, x + y)
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attribute [reducible]
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definition nat_has_add3 : nat → has_add nat :=
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λ n, has_add.mk (λ x y : nat, x + y)
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open tactic
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set_option pp.all true
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-- Example where instance canonization does not work.
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-- This is a different issue. We can only make them work if we normalize (nat_has_add3 x) and (nat_has_add3 y).
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-- Again, the user can workaround it by manually normalizing these instances before invoking defeq_simp.
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example (a b : nat)
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(H : (λ x y : nat, @add nat (nat_has_add3 x) a b) =
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(λ x y : nat, @add nat (nat_has_add3 y) a x)) : true :=
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by do
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get_local `H >>= infer_type >>= defeq_simp >>= trace,
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constructor
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