Theorems · Theorem · order theory
hnot_eq_sInf_codisjoint
∀ {α : Type u} [inst : Order.Coframe α] {a : α}, ￢a = sInf {w | Codisjoint a w}- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- Order.Coframe
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Cites8
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
- Codisjointstatement · cited by 197
- HNot.hnotstatement · cited by 83
- Order.Coframestatement and proof · cited by 38
- IsLeast.isGLBproof · cited by 23
- IsGLB.sInf_eqproof · cited by 14
- isLeast_hnotproof · cited by 1
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