2015-11-22 17:49:00 -08:00
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example (a b c : Prop) : a ∧ b ∧ c ↔ c ∧ b ∧ a :=
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2015-12-06 14:35:14 -08:00
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by simp
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2015-11-22 17:49:00 -08:00
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example (a b c : Prop) : a ∧ false ∧ c ↔ false :=
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2015-12-06 14:35:14 -08:00
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by simp
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2015-11-22 17:49:00 -08:00
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example (a b c : Prop) : a ∨ false ∨ b ↔ b ∨ a :=
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2015-12-06 14:35:14 -08:00
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by simp
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2015-11-22 17:49:00 -08:00
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example (a b c : Prop) : ¬ true ∨ false ∨ b ↔ b :=
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2015-12-06 14:35:14 -08:00
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by simp
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2015-11-22 17:49:00 -08:00
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example (a b c : Prop) : if true then a else b ↔ if false then b else a :=
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2015-12-06 14:35:14 -08:00
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by simp
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2015-11-22 17:49:00 -08:00
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example (a b : Prop) : a ∧ not a ↔ false :=
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2015-12-06 14:35:14 -08:00
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by simp
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