16 lines
437 B
Text
16 lines
437 B
Text
-- Simplifying the operator with a user-defined congruence
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import logic.connectives
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constants (P1 Q1 P2 Q2 P3 Q3 : Prop) (H1 : P1 ↔ Q1) (H2 : P2 ↔ Q2) (H3 : P3 ↔ Q3)
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constants (f g : Prop → Prop → Prop)
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constants (Hf : and = f) (Hg : f = g)
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attribute H1 [simp]
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attribute H2 [simp]
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attribute H3 [simp]
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attribute Hf [simp]
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attribute Hg [simp]
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#simplify iff env 2 (and P1 (and P2 P3))
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#simplify iff env 2 (and P1 (iff P2 P3))
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