31 lines
679 B
Text
31 lines
679 B
Text
/- Basic rewriting with eq and generic congruence, with no conditionals -/
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namespace test_congr
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universe l
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constant T : Type.{l}
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constants (x y z : T → T) (f g h : (T → T) → (T → T)) (a b c : T)
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constants (Hfxgy : f x = g y) (Hgyhz : g y = h z) (Hab : a = b) (Hbc : b = c)
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attribute Hfxgy [simp]
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attribute Hgyhz [simp]
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attribute Hab [simp]
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attribute Hbc [simp]
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#simplify eq 2 (f x a) -- h z c
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end test_congr
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namespace test_congr_fun
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universes l1 l2
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constants (T : Type.{l1}) (U : T → Type.{l2})
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constants (f g : Π (x:T), U x) (x y : T)
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constants (Hfg : f = g) (Hxy : x = y)
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attribute Hfg [simp]
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attribute Hxy [simp]
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#simplify eq 2 (f x)
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end test_congr_fun
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