Theorems · Theorem · Lie groups

TopologicalAddGroup.IsSES.isOpenQuotientMap

∀ {A : Type u_1} {B : Type u_2} {C : Type u_3} [inst : AddGroup A] [inst_1 : AddGroup B] [inst_2 : AddGroup C]
  [inst_3 : TopologicalSpace A] [inst_4 : TopologicalSpace B] [inst_5 : TopologicalSpace C] {φ : A →+ B} {ψ : B →+ C},
  TopologicalAddGroup.IsSES φ ψ → IsOpenQuotientMap ⇑ψ

Defined in: Mathlib.Topology.Algebra.Group.Extension
Cited by: 1 results in Mathlib
Foundations: Depth 11 from the axioms · uses no axioms
Assumes: AddGroup AddGroup AddGroup TopologicalSpace TopologicalSpace TopologicalSpace

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Cites6

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

DFunLike.coestatement · cited by 62,936
TopologicalSpacestatement and proof · cited by 24,529
AddGroupstatement and proof · cited by 4,410
AddMonoidHomstatement and proof · cited by 3,230
IsOpenQuotientMapstatement · cited by 65
TopologicalAddGroup.IsSESstatement and proof · cited by 13

Cited by1

Results whose statement or proof uses this declaration.

TopologicalAddGroup.IsSES.inducedMeasure_lt_of_injOnproof · cited by 0