Theorems · Definition · category theory
TopCat.I.homeomorph
↑TopCat.I ≃ₜ ↑unitInterval
The unit interval TopCat.I is homeomorphic to unitInterval.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.Elemstatement · cited by 7,166
- TopCat.carrierstatement · cited by 3,184
- Homeomorphstatement · cited by 725
- unitIntervalstatement · cited by 607
- TopCat.Istatement · cited by 64
- Homeomorph.uliftproof · cited by 6
Cited by14
Results whose statement or proof uses this declaration.
- TopCat.Homotopy.hproof · cited by 15
- TopCat.I.symmproof · cited by 4
- TopCat.I.extstatement and proof · cited by 3
- TopCat.pathEquivproof · cited by 2
- TopCat.I.homeomorph_onestatement and proof · cited by 2
- TopCat.I.homeomorph_zerostatement and proof · cited by 2
- TopPair.Homotopy.w_applystatement · cited by 1
- TopCat.pathEquiv_symm_apply_hom_hom_applystatement · cited by 0
- TopCat.Homotopy.h_compproof · cited by 0
- TopCat.Homotopy.h_hom_applystatement · cited by 0
- TopCat.I.ext_iffstatement and proof · cited by 0
- TopCat.I.homeomorph_symmstatement · cited by 0