1.  incontrovertible(s = adj.all) irrefutable, positive - impossible to deny or disprove; "incontrovertible proof of the defendant's innocence"; "proof positive"; "an irrefutable argument"
Derived forms noun incontrovertibility₁, noun incontrovertibleness₁

2.  incontrovertible(s = adj.all) demonstrable - necessarily or demonstrably true; "demonstrable truths"
Derived form noun incontrovertibleness₁

   Not controvertible; too clear or certain to admit of dispute; indisputable. [1913 Webster]

incontrovertible, adj. indisputable, indubitable.

Derivative:
incontrovertibility n. incontrovertibly adv.

N  stability, immutability, unchangeability unchangeableness, constancy, stable equilibrium, immobility, soundness, vitality, stabiliment, stiffness, ankylosis, solidity, aplomb, establishment, fixture, rock, pillar, tower, foundation, leopard's spots, Ethiopia's skin, permanence, obstinacy, unchangeable, immutable, unaltered, unalterable, not to be changed, constant, permanent, invariable, undeviating, stable, durable, perennial, fixed, steadfast, firm, fast, steady, balanced, confirmed, valid, fiducial, immovable, irremovable, riveted, rooted, settled, established, vested, incontrovertible, stereotyped, indeclinable, tethered, anchored, moored, at anchor, on a rock, rock solid, firm as a rock, firmly seated, firmly established, deep-rooted, ineradicable, inveterate, obstinate, transfixed, stuck fast, aground, high and dry, stranded, stuck, jammed, unremovable, quiescent, deterioration, indefeasible, irretrievable, intransmutable, incommutable, irresoluble, irrevocable, irreversible, reverseless, inextinguishable, irreducible, indissoluble, indissolvable, indestructible, undying, imperishable, incorruptible, indelible, indeciduous, insusceptible, insusceptible of change, Int, stet, littera scripta manet.

N  certainty, necessity, certitude, surety, assurance, dead certainty, moral certainty, infallibleness, infallibility, reliability, indubitableness, inevitableness, unquestionableness, gospel, scripture, church, pope, court of final appeal, res judicata, ultimatum positiveness, dogmatism, dogmatist, dogmatizer, doctrinaire, bigot, opinionist, Sir Oracle, ipse dixit, fact, positive fact, matter of fact, fait accompli, certain, sure, assured, solid, well-founded, unqualified, absolute, positive, determinate, definite, clear, unequivocal, categorical, unmistakable, decisive, decided, ascertained, inevitable, unavoidable, avoidless, ineluctable, unerring, infallible, unchangeable, to be depended on, trustworthy, reliable, bound, unimpeachable, undeniable, unquestionable, indisputable, incontestable, incontrovertible, indubitable, irrefutable, conclusive, without power of appeal, indubious, without doubt, beyond a doubt, without a shade or shadow of doubt, without question, beyond question, past dispute, clear as day, beyond all question, beyond all dispute, undoubted, uncontested, unquestioned, undisputed, questionless, doubtless, authoritative, authentic, official, sure as fate, sure as death and taxes, sure as a gun, evident, self-evident, axiomatic, clear, clear as day, clear as the sun at noonday, certainly, for certain, certes, sure, no doubt, doubtless, and no mistake, flagrante delicto, sure enough, to be sure, of course, as a matter of course, a coup sur, to a certainty, in truth, at any rate, at all events, without fail, coute que coute, coute qu'il coute, whatever may happen, if the worst come to the worst, come what may, happen what may, come what will, sink or swim, rain or shine, cela va sans dire, there is no question, no question, not a shadow of doubt, there is not a shadow of doubt, the die is cast, facts are stubborn things.