[Merged by Bors] - chore: simplify proof of IsPiSystem.comap #11052
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I found this with tryAtEachStep. |
dwrensha
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| refine' ⟨s ∩ t, h_pi s hs_mem t ht_mem _, rfl⟩ | ||
| by_contra h | ||
| rw [Set.not_nonempty_iff_eq_empty] at h | ||
| rw [h] at hst | ||
| simp at hst | ||
| exact nonempty_of_nonempty_preimage hst |
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Looks like you can even collapse this into the previous line
Ruben-VandeVelde
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Looks good, thanks! |
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Uses `Set.not_nonempty_iff_eq_empty` to shorten the proof of `IsPiSystem.comap`.
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Pull request successfully merged into master. Build succeeded: |
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Louddy
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Apr 15, 2024
Uses `Set.not_nonempty_iff_eq_empty` to shorten the proof of `IsPiSystem.comap`.
atarnoam
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Apr 16, 2024
Uses `Set.not_nonempty_iff_eq_empty` to shorten the proof of `IsPiSystem.comap`.
uniwuni
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Apr 19, 2024
Uses `Set.not_nonempty_iff_eq_empty` to shorten the proof of `IsPiSystem.comap`.
callesonne
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Apr 22, 2024
Uses `Set.not_nonempty_iff_eq_empty` to shorten the proof of `IsPiSystem.comap`.
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Uses
Set.not_nonempty_iff_eq_emptyto shorten the proof ofIsPiSystem.comap.