Theorems · Theorem · algebraic topology
isSimplyConnected_vadd_set_iff
∀ {X : Type u_1} [inst : TopologicalSpace X] {G : Type u_3} [inst_1 : AddGroup G] [inst_2 : AddAction G X]
[ContinuousConstVAdd G X] {c : G} {s : Set X}, IsSimplyConnected (c +ᵥ s) ↔ IsSimplyConnected s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- ContinuousConstVAddstatement and proof · cited by 97
- Homeomorph.vaddproof · cited by 14
- IsSimplyConnectedstatement · cited by 13
- Homeomorph.isSimplyConnected_imageproof · cited by 3
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