34 lines
736 B
Text
34 lines
736 B
Text
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notation `⟪`:max t:(foldr `,` (e r, and.intro e r)) `⟫`:0 := t
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check ⟪ trivial, trivial, trivial ⟫
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theorem tst (a b c d : Prop) : a ∧ b ∧ c ∧ d ↔ d ∧ c ∧ b ∧ a :=
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begin
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apply iff.intro,
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begin
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intro H,
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match H with
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| ⟪ H₁, H₂, H₃, H₄ ⟫ := ⟪ H₄, H₃, H₂, H₁ ⟫
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end
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end,
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begin
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intro H,
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match H with
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| ⟪ H₁, H₂, H₃, H₄ ⟫ :=
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begin
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repeat [apply and.intro | assumption]
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end
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end
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end
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end
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print definition tst
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theorem tst2 (a b c d : Prop) : a ∧ b ∧ c ∧ d ↔ d ∧ c ∧ b ∧ a :=
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begin
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apply iff.intro,
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repeat (intro H; repeat [cases H with (H', H) | apply and.intro | assumption])
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end
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print definition tst2
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