leanprover-community / leanprover-community/mathlib4

Make `inhabit` use `simp [nontriviality]` in `[IsEmpty]` case

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Description

The tactic nontriviality α can do case split on Subsingleton α ∨ Nontrivial α, then discard the first branch using simp [nontriviality]. It would be nice to add a similar logic to
inhabit: case split on IsEmpty α ∨ Nonempty α, then discard the
first case using simp [nontriviality]. I think that both tactics
should use the same simp set because sometimes, e.g., [IsEmpty α]
implies [Subsingleton (α → β)].

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Research direction

Locate the implementations of inhabit and nontriviality, then compare the simp sets they currently use. Verify the change with the existing tactic tests, ensuring the [IsEmpty] branch is discarded and the corresponding nonempty behavior still works.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Feature
Difficulty
3/5
Estimated time
1-2 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
39/100

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