Theorems · Theorem · order theory
Finset.sups_subset_iff
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : SemilatticeSup α] {s t u : Finset α},
s ⊻ t ⊆ u ↔ ∀ a ∈ s, ∀ b ∈ t, a ⊔ b ∈ u- Defined in
- Mathlib.Data.Finset.Sups
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqSemilatticeSup
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
- SemilatticeSupstatement and proof · cited by 785
- HasSups.supsstatement · cited by 103
- Finset.hasSupsstatement · cited by 61
- Finset.image₂_subset_iffproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Finset.sups_subset_selfproof · cited by 0