query: Propositional Logic - How to prove that A implies itself?
positive_passages.docid: 142168
positive_passages.text: can we a prove ⊢ (α → α) → (α → α)
negative_passages.docid: 32027
negative_passages.text: Given (p ∧ q), use the Fitch system to prove (q ∨ r)
negative_passages.docid: 81618
negative_passages.text: Prove $||a|-|b| | \leq |a-b|$
negative_passages.docid: 151038
negative_passages.text: How to prove (A v B), (A → C), (B → D) therefore (C v D)
negative_passages.docid: 126870
negative_passages.text: Show that axiom of replacement implies from the Axiom of Specification [Proof Verification]
negative_passages.docid: 19856
negative_passages.text: Prove that a subset of a separable set is itself separable
negative_passages.docid: 125317
negative_passages.text: Is this statement "Every element in the empty set is greater than itself." true or its negation is true?
negative_passages.docid: 138897
negative_passages.text: help with some Hilbert style proofs in a propositional logic axiom system.
negative_passages.docid: 148790
negative_passages.text: Basic question about proofs with the goal $\exists x P(x)$
negative_passages.docid: 125950
negative_passages.text: Proof strategy involving first order logic for existential quantification at very beginning
negative_passages.docid: 6535
negative_passages.text: Proof of for-all / there-exists "negation"?
negative_passages.docid: 93557
negative_passages.text: Intuitively, why does (B → S) ≡ (¬B ∨ S)?
negative_passages.docid: 88188
negative_passages.text: Explain proof by contradiction.
negative_passages.docid: 51369
negative_passages.text: Natural deduction proof of $p \lor (p\implies q)$ with propositional calculus
negative_passages.docid: 68880
negative_passages.text: propositional calculus problem, how to prove this right or wrong?
negative_passages.docid: 103653
negative_passages.text: Interpretations and models in propositional logic
negative_passages.docid: 6119
negative_passages.text: If both $P$ and $Q$ are true , how can I tell that $P$ implies $Q$?