Theorems · Theorem · order theory
IsLeast.csInf_mem
∀ {α : Type u_1} [inst : ConditionallyCompletePartialOrderInf α] {s : Set α} {a : α}, IsLeast s a → sInf s ∈ s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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
- InfSet.sInfstatement · cited by 935
- IsLeaststatement and proof · cited by 122
- ConditionallyCompletePartialOrderInfstatement and proof · cited by 51
- IsLeast.csInf_eqproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- IsCompact.sInf_memproof · cited by 5