provably

In verifiable fashion

Provably means in a way that can be demonstrated or proven.

The word appears most often in technical contexts—mathematics, logic, computer science—where formal proof is possible: The algorithm is provably correct.

Outside technical use, provably emphasizes that evidence exists: The claim is provably false.

logic

axiom

Self-evident starting principle

theorem · proposition · validity · soundness · predicate · quantifier · fallacy · induction · abduction · tautology

mathematics

theorem

Demonstrated logical conclusion

postulate · algorithm · computation · decidability · incompleteness · NP · polynomial · complexity · verification · correctness

certainty

irrefutably

Beyond all contradiction

unquestionably · definitively · incontrovertibly · unambiguously · unequivocally · certainly · positively · rigorously · assuredly

evidence

verifiable

Able to be proven

empirically · confirmable · certifiable · traceable · auditable · reproducible · falsifiable · checkable · validatable · observable

Opposites
demonstrability

provablyallegedly

Claimed but unverified

supposedly · purportedly · assumedly · inconclusively · presumably

certainty of knowledge

provablyunknowably

Beyond possible understanding

inconclusively · conjecturally · speculatively · hypothetically · doubtfully

Family

provable, unprovable, approvable

Familiarity
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Used worldwide · Timeless · Abstract · Rated G