Mathlib Map

Theorems · Theorem

Equiv.nonempty

∀ {α : Sort u} {β : Sort v} (e : α ≃ β) [Nonempty β], Nonempty α
Defined in
Mathlib.Logic.Equiv.Defs
Cited by
4 results in Mathlib
Foundations
Depth 15 from the axioms · uses Quot.sound
Assumes
Nonempty
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddSubgroup.leftCoset_cover_filter_FiniteIndex_aux · cited by 3AddSubgroup.leftCoset_cov…Subgroup.leftCoset_cover_filter_FiniteIndex_aux · cited by 3Subgroup.leftCoset_cover_…Set.Finite.biInf_iSup_eq · cited by 1Finite.biInf_iSup_eqOrdinal.mem_closure_tfae · cited by 1Ordinal.mem_closure_tfaeEquiv · cited by 8337EquivEquiv.nonempty_congr · cited by 47Equiv.nonempty_congrEquiv.nonemptyCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.