Theorems · Theorem · order theory

csInf_zero

∀ {M : Type u_1} [inst : ConditionallyCompleteLattice M] [inst_1 : Zero M], sInf 0 = 0

Defined in: Mathlib.Algebra.Order.Group.Pointwise.CompleteLattice
Cited by: 0 results in Mathlib
Foundations: Depth 11 from the axioms · uses no axioms
Assumes: ConditionallyCompleteLattice Zero

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

Setstatement · cited by 53,352
InfSet.sInfstatement · cited by 935
ConditionallyCompleteLatticestatement and proof · cited by 364
Set.zerostatement · cited by 87
csInf_singletonproof · cited by 6

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