Theorems · Theorem · combinatorics
Set.sep_sups_le
∀ {α : Type u_2} [inst : SemilatticeSup α] (s t : Set α) (a : α),
{b | b ∈ s ⊻ t ∧ b ≤ a} = {b | b ∈ s ∧ b ≤ a} ⊻ {b | b ∈ t ∧ b ≤ a}- Defined in
- Mathlib.Data.Set.Sups
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeSup
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
- Set.ofPredstatement and proof · cited by 6,101
- Set.extproof · cited by 2,266
- SemilatticeSupstatement and proof · cited by 785
- HasSups.supsstatement · cited by 103
- Set.hasSupsstatement · cited by 43
Cited by1
Results whose statement or proof uses this declaration.
- Finset.filter_sups_leproof · cited by 1