22 lines
503 B
Text
22 lines
503 B
Text
import data.nat
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open algebra
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constant f {A : Type} : A → A → A
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theorem test1 {A : Type} [s : comm_ring A] (a b c : A) (H : a + 0 = 0) : f a a = f 0 0 :=
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begin
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rewrite add_zero at H,
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rewrite H
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end
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theorem test2 {A : Type} [s : comm_ring A] (a b c : A) (H : a + 0 = 0) : f a a = f 0 0 :=
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begin
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rewrite add_zero at *,
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rewrite H
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end
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theorem test3 {A : Type} [s : comm_ring A] (a b c : A) (H : a + 0 = 0 + 0) : f a a = f 0 0 :=
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begin
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rewrite [add_zero at H, zero_add at H],
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rewrite H
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end
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