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tauto タクティクの説明で、命題論理を強調する #1016

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Oct 24, 2024
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4 changes: 2 additions & 2 deletions LeanByExample/Reference/Tactic/Tauto.lean
Original file line number Diff line number Diff line change
Expand Up @@ -17,10 +17,10 @@ example : (P → (Q → R)) → ((P → Q) → (P → R)) := by
tauto

-- 否定と同値なら矛盾
example : (P ↔ ¬ P) → false := by
example : (P ↔ ¬ P) → False := by
tauto

/- `tauto` はすべてのトートロジーを示せるわけではありません。ごく簡単なトートロジーの中にも `tauto` で示せないものがあります。-/
/- `tauto` が扱えるのは命題論理の範囲で記述できる命題だけです。述語論理における恒真な式は、ごく簡単なものであっても `tauto` で示せないことがあります。-/

variable (α : Type) (S : α → Prop)

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