29 lines
816 B
Text
29 lines
816 B
Text
open tactic
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constants (A : Type 1) (a b c d e f g h : A) (op : A → A → A) (op_assoc : is_associative op)
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attribute op_assoc [instance]
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infixr `%%` := op
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namespace pat2
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constant H : a %% b = f
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local attribute H [simp]
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example : a %% b = f := by simp
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example : c %% a %% b = c %% f := by simp
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example : a %% b %% c = f %% c := by simp
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example : c %% a %% b %% d = c %% f %% d := by simp
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example : c %% d %% a %% b %% c %% d = c %% d %% f %% c %% d := by simp
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end pat2
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namespace pat3
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constant H : (a %% b) %% g = f
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attribute H [simp]
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example : a %% b %% g = f := by simp
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example : c %% a %% b %% g = c %% f := by simp
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example : a %% b %% g %% c = f %% c := by simp
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example : c %% a %% b %% g %% d = c %% f %% d := by simp
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example : c %% d %% a %% b %% g %% c %% d = c %% d %% f %% c %% d := by simp
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end pat3
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