9 lines
369 B
Text
9 lines
369 B
Text
Set: pp::colors
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Set: pp::unicode
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Assumed: f
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Proved: T1
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Proved: T2
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Theorem T1 (a b c : ℤ) (H1 : a = b) (H2 : a = c) : (f (f a a) b) = (f (f b c) a) :=
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Congr (Congr (Refl f) (Congr (Congr (Refl f) H1) H2)) (Symm H1)
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Theorem T2 (a b c : ℤ) (H1 : a = b) (H2 : a = c) : (f (f a c)) = (f (f b a)) :=
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Congr (Refl f) (Congr (Congr (Refl f) H1) (Symm H2))
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