Feature Request: Environment to pre-populate lemmas into hammer.

[cbuschardt]

The prediction algorithm doesn't always identify the critical lemmas for the problem space. I'd love a way to manually add entries to merge with the result of "predict".

Lemma Z_div_step: forall u v k, v > 0 -> u / v = (u + v * k) / v - k. Proof. hammer AdditionalPredictions: Z.add_cancel_r, Z.sub_add.

The intent is to compose this into tactics related to specific problem domains.

[lukaszcz]

The hypotheses are not subject to premise selection: all of them are always passed to the ATPs. So you can achieve the effect you want by just adding the lemmas to the context:

Lemma Z_div_step:
forall u v k,
v > 0 -> u / v = (u + v * k) / v - k.
Proof.
pose proof Z.add_cancel_r.
pose proof Z.sub_add.
hammer.

Whether the ATPs will be able to make use of the translated hypotheses is a different matter.