Theorems · Theorem · order theory

csInf_one

∀ {M : Type u_1} [inst : ConditionallyCompleteLattice M] [inst_1 : One M], sInf 1 = 1

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 One

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites5

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.onestatement · cited by 54
csInf_singletonproof · cited by 6

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.