Etymology
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provable (adj.)

late 14c., "approvable, worthy of praise or admiration" (a sense now obsolete); c. 1400, "that can be proved, capable of being demonstrated," from Old French provable, from prover "show; convince; put to the test" (see prove (v.)). Related: Provably; provability; provableness.

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Definitions of provable

provable (adj.)
capable of being demonstrated or proved; "practical truth provable to all men"- Walter Bagehot;
Synonyms: demonstrable
From wordnet.princeton.edu