Mathlib Map

Theorems · Theorem · Lie groups

continuousNeg_iInf

∀ {G : Type w} {ι' : Sort u_1} [inst : Neg G] {ts' : ι' → TopologicalSpace G},
  (∀ (i : ι'), ContinuousNeg G) → ContinuousNeg G
Defined in
Mathlib.Topology.Algebra.Group.Basic
Cited by
1 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Neg
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

continuousNeg_inf · cited by 0continuousNeg_infTopologicalSpace · cited by 24529TopologicalSpaceiInf · cited by 1690iInfSet.forall_mem_range · cited by 135Set.forall_mem_rangeContinuousNeg · cited by 119ContinuousNegsInf_range · cited by 17sInf_rangecontinuousNeg_sInf · cited by 2continuousNeg_sInfcontinuousNeg_iInfCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.