Theorems · Inductive type · Lie groups
TopologicalAddGroup.IsSES
{A : Type u_1} →
{B : Type u_2} →
{C : Type u_3} →
[inst : AddGroup A] →
[inst_1 : AddGroup B] →
[inst_2 : AddGroup C] →
[TopologicalSpace A] → [TopologicalSpace B] → [TopologicalSpace C] → (A →+ B) → (B →+ C) → PropA predicate stating that φ and ψ define a short exact sequence of topological groups.
- Defined in
- Mathlib.Topology.Algebra.Group.Extension
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- AddGroupstatement · cited by 4,410
- AddMonoidHomstatement · cited by 3,230
Cited by19
Results whose statement or proof uses this declaration.
- TopologicalAddGroup.IsSES.pushforwardstatement and proof · cited by 6
- TopologicalAddGroup.IsSES.pullbackstatement and proof · cited by 5
- TopologicalAddGroup.IsSES.integratestatement and proof · cited by 4
- TopologicalAddGroup.IsSES.pullback_defstatement and proof · cited by 2
- TopologicalAddGroup.IsSES.exactstatement and proof · cited by 2
- TopologicalAddGroup.IsSES.inducedMeasurestatement and proof · cited by 2
- TopologicalAddGroup.IsSES.integrate_monostatement and proof · cited by 2
- TopologicalAddGroup.IsSES.isClosedEmbeddingstatement and proof · cited by 2
- TopologicalAddGroup.IsSES.pushforward_apply_applystatement and proof · cited by 1
- TopologicalAddGroup.IsSES.pushforward_monostatement and proof · cited by 1
- TopologicalAddGroup.IsSES.integral_pullback_invFun_applystatement and proof · cited by 1
- TopologicalAddGroup.IsSES.isOpenQuotientMapstatement and proof · cited by 1