2015-11-05 05:53:12 +00:00
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-- deeper congruence
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universe l
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constants (T : Type.{l}) (x1 x2 x3 x4 x5 x6 : T) (f : T → T → T)
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constants (f_comm : ∀ x y, f x y = f y x)
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(f_l : ∀ x y z, f (f x y) z = f x (f y z))
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(f_r : ∀ x y z, f x (f y z) = f y (f x z))
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2015-11-17 00:00:00 +00:00
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2015-11-05 05:53:12 +00:00
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attribute f_comm [simp]
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attribute f_l [simp]
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attribute f_r [simp]
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2015-11-17 00:00:00 +00:00
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#simplify eq env 0 (f (f x2 x4) (f x5 (f x3 (f x1 x6))))
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