Theorems · Theorem · algebraic topology
GenLoop.genLoopGenLoopEquiv_symm_apply_coe
∀ {N : Type u_1} {X : Type u_2} [inst : TopologicalSpace X] {M : Type u_3} (x : X) (q : ↑(GenLoop (M ⊕ N) X x)),
↑((GenLoop.genLoopGenLoopEquiv x).symm q) = GenLoop.currySum x q- Defined in
- Mathlib.Topology.Homotopy.HomotopyGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement and proof · cited by 7,166
- ContinuousMapstatement · cited by 2,491
- Homeomorphstatement · cited by 725
- unitIntervalstatement · cited by 607
- Homeomorph.symmstatement and proof · cited by 365
- GenLoopstatement and proof · cited by 44
- GenLoop.conststatement · cited by 21
- GenLoop.currySumstatement · cited by 4
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