Theorems · Theorem · order theory
Finset.inf_mem_infs
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : SemilatticeInf α] {s t : Finset α} {a b : α},
a ∈ s → b ∈ t → a ⊓ b ∈ s ⊼ t- Defined in
- Mathlib.Data.Finset.Sups
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqSemilatticeInf
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.
- Finsetstatement and proof · cited by 13,712
- SemilatticeInfstatement and proof · cited by 634
- HasInfs.infsstatement · cited by 105
- Finset.hasInfsstatement · cited by 62
- Finset.mem_image₂_of_memproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Finset.inter_mem_infsproof · cited by 1