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if … then …
p → q
… implies …
p → q
… is sufficient for …
p → q
… only if …
p → q
… if …
q ← p
… is necessary for …
q ← p
… follows from …
q ← p
_ unless _?
p → q | q unless ~p
… provided that …
q ← p
not
NEGATION: ¬
it is not the case that p
NEGATION: ¬
p but q
CONJUNCTION: ∧
p and q
CONJUNCTION: ∧
p or q, but not both
EXCLUSIVE-OR: ⊕
p or q
DISJUNCTION: ∨
_ is necessary and sufficient for _
BICONDITIONAL: p ⇔ q
if … then …, and conversely
BICONDITIONAL: p ⇔ q
… if and only if …
BICONDITIONAL: p ⇔ q
… iff …
BICONDITIONAL: p ⇔ q