Theorems · Theorem · algebraic topology
Homeomorph.isSimplyConnected_preimage
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (f : X ≃ₜ Y) {s : Set Y},
IsSimplyConnected (⇑f ⁻¹' 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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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.preimagestatement · cited by 4,946
- Homeomorphstatement and proof · cited by 725
- Homeomorph.symmproof · cited by 365
- IsSimplyConnectedstatement and proof · cited by 13
- Homeomorph.image_symmproof · cited by 13
- Homeomorph.isSimplyConnected_imageproof · cited by 3
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