Why "either not $B$ or $C$" is logically equivalent to "$B$ implies $C$"?
56351
Prove that these statements $(A \lor \neg B)$ and $\neg A \to \neg B$ are logically equivalent
150282
If $A$ is independent of $B$ and $C$ then why is it not necessarally independent of $B\cap C$?
18915
"A and B both are" vs. "A and B are both" vs. "Both A and B are" vs. "Both of A and B are"?
53101
Is it true that the relation |A| < |B| is a sufficient condition for claiming that $f$ is a bijection?
124320
$a,b,c>0 \text{ s.t. }a+b+c=1 \implies \sqrt{ab+c}+\sqrt{bc+a}+\sqrt{ca+b} \ge 1+ \sqrt{ab}+\sqrt{bc}+\sqrt{ca}$
108292
Precedence between implication and bi-implication
21035
Clarifying on how if p,q is logically equivalent to p only if q
93557
Intuitively, why does (B → S) ≡ (¬B ∨ S)?
148237
Is ¬¬(¬¬P → P) provable in intuitionistic logic?
37369
How do I check if two logical expressions are equivalent?
111800
If $a|c$ and $b|d$, is it true that $ab|cd$?
6935
What's the difference between "either" and "neither"?
578
In classical logic, why is $(p\Rightarrow q)$ True if both $p$ and $q$ are False?
29031
How does "If $P$ then $Q$" have the same meaning as "$Q$ only if $P$ "?
126862
Confused about $x \notin x$ example in Axiom of Specification
62770
Does $a\mid bc$ imply $a\mid b$ or $a\mid c$?
139064
Show by using logical connectives laws that $(P\to Q) \land (Q \to R) $ is equivalent to $(P \to R) \land [(P \iff Q) \lor (R \iff Q)]$