Lean 4 fork for HoTT-compatible kernel extensions (Path types, transport, HITs). Maintained against upstream leanprover/lean4.
6a59926592
This PR gives the `induction` tactic the ability to name hypotheses to use when generalizing targets, just like in `cases`. For example, `induction h : xs.length` leads to goals with hypotheses `h : xs.length = 0` and `h : xs.length = n + 1`. Target handling is also slightly modified for multi-target induction principles: it used to be that if any target was not a free variable, all of the targets would be generalized (thus causing free variables to lose their connection to the local hypotheses they appear in); now only the non-free-variable targets are generalized. This gives `induction` the last basic feature of the mathlib `induction'` tactic, which has been long-requested. Recent Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/To.20replace.20.60induction'.20h.20.3A.20f.20x.60/near/499482173 |
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