The phrase "axiomatic for" is correct and can be used in written English.
It is typically used to describe a statement or principle that is widely accepted as true or self-evident within a particular context or field of study. Example: In mathematics, it is axiomatic for parallel lines to never intersect.
It is axiomatic for political leaders to seize moments of opportunity.
Playwrights must write within the governing theatrical conventions of their time, and this fact would have been axiomatic for a consummate man of the theatre like Shakespeare.
It is has been axiomatic for generations: the Palestine problem is the central issue of Arab politics, and of the so-called "Arab system" which - through its chief institution, the Arab League, embodying the collective will of 22 Arab states - is supposed to guard the higher interests and basic security of the Arab "nation".
Here hypostasis appears to signify the reality disclosed by a phenomenon; the formula ex substantia patris was already axiomatic for Origen's African contemporary Tertullian (Against Praxeas 7.9).
It is axiomatic for Buddhist philosophers that there is no independent subject (soul) other than the five heaps (skandhas), so the subject of the syllogism becomes the complex or continuum of sense-faculties in the present instant.
It has been axiomatic for some decades in this country that whenever cultural roots are cited as inspiration for great achievement of any kind, you can be sure that the wider "anglo" culture is not about to be praised.
Similarly, an axiomatic calculus for FOL, for instance, would contain rules of inference in addition to the axioms.
In this respect, axiomatic bases for LPC contrast with those for PC.
For completeness proofs of versions of this axiomatic system for CTL, see Goldblatt (1987) and Emerson (1990).
It should be axiomatic -- for commentators who refuse to be partisan hacks, for activists with progressive commitments, for anyone determined to elude Orwellian doublethink -- that presidential actions and policies should be assessed and supported or opposed on their merits.
In response to Russell's paradox, David Hilbert also expanded his program of building a consistent, axiomatic foundation for mathematics so that it included an axiomatic foundation for logic and set theory (Peckhaus 2004).
