Theorems · Theorem · algebraic topology
SSet.stdSimplex.opIso_inv_app_hom_apply
∀ (n : SimplexCategory) (X : SimplexCategoryᵒᵖ) (x : (SSet.stdSimplex.obj n).obj X), (CategoryTheory.ConcreteCategory.hom ((SSet.stdSimplex.opIso n).inv.app X)) x = SSet.stdSimplex.opObjEquiv.symm x
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Equivstatement · cited by 8,337
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- Equiv.symmstatement · cited by 3,681
- SimplexCategorystatement and proof · cited by 2,204
- TypeCat.Funstatement · cited by 1,307
- SSetstatement · cited by 1,283
- SSet.stdSimplexstatement and proof · cited by 499
Cited by2
Results whose statement or proof uses this declaration.
- SSet.op_boundaryproof · cited by 0
- SSet.op_hornproof · cited by 0