Theorems · Theorem · algebraic topology
IsAddQuotientCoveringMap.isCancelVAdd
∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X} {G : Type u_3}
[inst_2 : AddGroup G] [inst_3 : AddAction G E], IsAddQuotientCoveringMap f G → IsCancelVAdd G E- Defined in
- Mathlib.Topology.Covering.Quotient
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.imageproof · cited by 5,609
- nhdsproof · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- Set.Nonemptyproof · cited by 2,627
- HVAdd.hVAddproof · cited by 1,820
- AddActionstatement and proof · cited by 820
- mem_of_mem_nhdsproof · cited by 126
- AddSemigroupAction.add_vaddproof · cited by 43
- IsAddQuotientCoveringMapstatement and proof · cited by 42
- neg_add_eq_zeroproof · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- IsAddQuotientCoveringMap.fiberEquivAddGroupproof · cited by 0
- isAddQuotientCoveringMap_iff_isCoveringMap_andproof · cited by 0