Insist

From Middle French insister, from Latin insistere

Full definition of insist

(with on or upon or (that + ordinary verb form)) To hold up a claim emphatically.
The defendant insisted on his innocence.
I insist that my secretary dresses nicely.
(I am defending her; see a similar example in the context below for comparison.)

1898, Winston Churchill, The Celebrity Chapter 5, But Miss Thorn relieved the situation by laughing aloud,.... We began to tell her about Mohair and the cotillon, and of our point of observation from the Florentine galleried porch, and she insisted she would join us there.
2013-06-22, Engineers of a different kind, Private-equity nabobs bristle at being dubbed mere financiers. Piling debt onto companiesâ€™ balance-sheets is only a small part of what leveraged buy-outs are about, they insist. Improving the workings of the businesses they take over is just as core to their calling, if not more so. Much of their pleading is public-relations bluster.

(sometimes with on or upon or (that + subjunctive)) To demand continually that something happen or be done.
The Prime Minister insisted on his Chancellor's resignation.
The Prime Minister insisted that his Chancellor resign.
I insist that my secretary dress nicely.
(obsolete, chiefly geometry) To stand (on); to rest (upon); to lean (upon).

1709, Venturus Mandey, Synopsis Mathematica UniversalisAngles likewise which insist on the Diameter, are all Right Angles.