Mathlib Map

Theorems · Theorem · order theory

IsCofinal.of_isEmpty

∀ {α : Type u_1} [inst : LE α] [IsEmpty α] {s : Set α}, IsCofinal s
Defined in
Mathlib.Order.Cofinal
Cited by
3 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
LEIsEmpty
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Around this declaration

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

isCofinal_empty_iff · cited by 1isCofinal_empty_iffIsClub.of_isEmpty · cited by 1IsClub.of_isEmptyOrdinal.IsFundamentalSeq.zero · cited by 0IsFundamentalSeq.zeroSet · cited by 53352SetIsEmpty · cited by 759IsEmptyIsCofinal · cited by 84IsCofinalisEmptyElim · cited by 59isEmptyElimIsCofinal.of_isEmptyCITED BYCITES

Cites4

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

Cited by3

Results whose statement or proof uses this declaration.