Mathlib Map

Theorems · Theorem · order theory

sInf_univ

∀ {α : Type u_1} [inst : CompleteLattice α], sInf Set.univ = ⊥
Defined in
Mathlib.Order.CompleteLattice.Basic
Cited by
3 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Quot.sound
Assumes
CompleteLattice
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ENNReal.toReal_essSup · cited by 1ENNReal.toReal_essSupENNReal.toReal_limsup · cited by 1ENNReal.toReal_limsupFilter.blimsup_false · cited by 0Filter.blimsup_falseBot.bot · cited by 4720Bot.botSet.univ · cited by 3945Set.univCompleteLattice · cited by 1048CompleteLatticeInfSet.sInf · cited by 935InfSet.sInfIsGLB.sInf_eq · cited by 14IsGLB.sInf_eqisGLB_univ · cited by 1isGLB_univsInf_univCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.