Theorems · Inductive type · Lie groups
TopologicalGroup.IsSES
{A : Type u_1} →
{B : Type u_2} →
{C : Type u_3} →
[inst : Group A] →
[inst_1 : Group B] →
[inst_2 : Group 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
- 17 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
- Groupstatement · cited by 6,238
- MonoidHomstatement · cited by 3,629
Cited by23
Results whose statement or proof uses this declaration.
- TopologicalGroup.IsSES.pushforwardstatement and proof · cited by 7
- TopologicalGroup.IsSES.pullbackstatement and proof · cited by 6
- TopologicalGroup.IsSES.integratestatement and proof · cited by 5
- TopologicalGroup.IsSES.inducedMeasurestatement and proof · cited by 3
- TopologicalGroup.IsSES.integrate_monostatement and proof · cited by 2
- TopologicalGroup.IsSES.isClosedEmbeddingstatement and proof · cited by 2
- TopologicalGroup.IsSES.mulExactstatement and proof · cited by 2
- TopologicalGroup.IsSES.pullback_defstatement and proof · cited by 2
- TopologicalGroup.IsSES.integral_pullback_invFun_applystatement and proof · cited by 1
- TopologicalGroup.IsSES.isOpenQuotientMapstatement and proof · cited by 1
- TopologicalGroup.IsSES.pushforward_apply_applystatement and proof · cited by 1
- TopologicalGroup.IsSES.pushforward_monostatement and proof · cited by 1