Theorems · Theorem · algebraic topology
IsSimplyConnected.simplyConnectedSpace
∀ {X : Type u_1} [inst : TopologicalSpace X] {s : Set X}, IsSimplyConnected s → SimplyConnectedSpace ↑s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Set.Elemstatement · cited by 7,166
- SimplyConnectedSpacestatement · cited by 19
- IsSimplyConnectedstatement and proof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- IsSimplyConnected.isPathConnectedproof · cited by 1
- Complex.exists_continuousOn_eqOn_exp_compproof · cited by 1