Theorems · Definition · algebraic topology
GenLoop.currySum
{N : Type u_1} →
{X : Type u_2} →
[inst : TopologicalSpace X] →
{M : Type u_3} → (x : X) → ↑(GenLoop (M ⊕ N) X x) → C(M → ↑unitInterval, ↑(GenLoop N X x))Curries an (M ⊕ N)-cube into an M-cube of N-cubes.
- Defined in
- Mathlib.Topology.Homotopy.HomotopyGroup
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 117 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- unitIntervalstatement and proof · cited by 607
- ContinuousMap.compproof · cited by 181
- Equiv.invFunproof · cited by 163
- Homeomorph.toEquivproof · cited by 77
- ContinuousMap.toFunproof · cited by 72
- GenLoopstatement and proof · cited by 44
- ContinuousMap.curryproof · cited by 26
Cited by5
Results whose statement or proof uses this declaration.
- GenLoop.genLoopGenLoopEquivproof · cited by 2
- GenLoop.continuous_currySumstatement and proof · cited by 0
- GenLoop.genLoopGenLoopEquiv_symm_apply_coestatement · cited by 0
- GenLoop.currySum_apply_coestatement and proof · cited by 0
- GenLoop.currySum_apply_inl_inrstatement · cited by 0