14 lines
617 B
Text
14 lines
617 B
Text
set_option blast.init_depth 10
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set_option blast.inc_depth 1000
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set_option blast.subst false
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set_option blast.simp false
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example (a b c d : Prop)
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[d₁ : decidable a] [d₂ : decidable b] [d₃ : decidable c] [d₄ : decidable d]
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: (a ↔ b) → (c ↔ d) → ((if (a ∧ c) then true else false) ↔ (if (b ∧ d) then true else false)) :=
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by blast
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example (a b c d : Prop) (x y z : nat)
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[d₁ : decidable a] [d₂ : decidable b] [d₃ : decidable c] [d₄ : decidable d]
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: (a ↔ b) → (c ↔ d) → x = y → ((if (a ∧ c ∧ a) then x else y) = (if (b ∧ d ∧ b) then y else x)) :=
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by blast
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