Theorems · Theorem · algebraic topology
HomotopyGroup.auxGroup_indep
∀ {N : Type u_1} {X : Type u_2} [inst : TopologicalSpace X] {x : X} [inst_1 : DecidableEq N] (i j : N),
HomotopyGroup.auxGroup i = HomotopyGroup.auxGroup j- Defined in
- Mathlib.Topology.Homotopy.HomotopyGroup
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemproof · cited by 7,166
- Groupstatement · cited by 6,238
- Equiv.symmproof · cited by 3,681
- Homeomorph.toEquivproof · cited by 77
- Path.transproof · cited by 54
- GenLoopproof · cited by 44
- GenLoop.toLoopproof · cited by 12
- HomotopyGroupstatement and proof · cited by 7
- GenLoop.transAtproof · cited by 6
- GenLoop.loopHomeoproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- HomotopyGroup.transAt_indepproof · cited by 1
- HomotopyGroup.symmAt_indepproof · cited by 1