Theorems · Theorem · combinatorics
Set.subset_infs_self
∀ {α : Type u_2} [inst : SemilatticeInf α] {s : Set α}, s ⊆ s ⊼ s- Defined in
- Mathlib.Data.Set.Sups
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- SemilatticeInf
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- SemilatticeInfstatement and proof · cited by 634
- HasInfs.infsstatement · cited by 105
- Set.hasInfsstatement · cited by 43
- inf_idemproof · cited by 37
- Set.mem_infsproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Set.infs_selfproof · cited by 0