Theorems · Theorem · order theory
sdiff_eq_sInf
∀ {α : Type u} [inst : Order.Coframe α] {a b : α}, a \ b = sInf {w | a ≤ b ⊔ w}- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
- Assumes
- Order.Coframe
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.
- Set.ofPredstatement · cited by 6,101
- InfSet.sInfstatement · cited by 935
- Order.Coframestatement and proof · cited by 38
- IsLeast.isGLBproof · cited by 23
- IsGLB.sInf_eqproof · cited by 14
- isLeast_sdiffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- le_sdiff_iffproof · cited by 0