Theorems · Theorem · order theory
IsCofinal.mem_of_isMax
∀ {α : Type u_1} [inst : PartialOrder α] {s : Set α} {a : α}, IsMax a → IsCofinal s → a ∈ s- Defined in
- Mathlib.Order.Cofinal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- PartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- IsMaxstatement and proof · cited by 372
- IsCofinalstatement and proof · cited by 84
- IsMax.eq_of_geproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- IsCofinal.top_memproof · cited by 2