Verb for mathematical induction [closed]

The development of mathematics unfortunately chose "induction" as a name for a proof technique -- mathematical induction is not inductive, but a kind of deductive reasoning! I have seen in numerous mathematical literature that "induce" or "induct" is used as a verb meaning "to do mathematical induction". But the dictionaries I've consulted gave little useful information on this matter. Is using "induce" or "induct" appropriate? Are there better options?

In this question, the use of "induction" as in "induction of electric current" or "induction of topologies" are discussed. In these cases "induce" seems appropriate.

It's uncommon to have to require the verb form of induction as regards mathematics. However, that doesn't excuse the fact of it being a question suitable for ELU.

As it is, the verb form of induction is induce (in the sense of mathematical induction.)

Per Merriam-Webster,

induce means

to determine by induction specifically : to infer from particulars

But as mentioned earlier it's customary to speak in terms of the noun form, rather than the verb form.