Theorems · Definition · category theory
Pointed.Iso.mk
{α β : Pointed} → (e : α.X ≃ β.X) → e α.point = β.point → (α ≅ β)Constructs an isomorphism between pointed types from an equivalence that preserves the point between them.
- Defined in
- Mathlib.CategoryTheory.Category.Pointed
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Equivstatement and proof · cited by 8,337
- CategoryTheory.Isostatement · cited by 3,963
- Equiv.symmproof · cited by 3,681
- Pointedstatement and proof · cited by 56
- Pointed.Xstatement and proof · cited by 40
- Pointed.pointstatement and proof · cited by 24
Cited by4
Results whose statement or proof uses this declaration.
- partialFunEquivPointedproof · cited by 10
- Pointed.Iso.mk.congr_simpstatement and proof · cited by 0
- Pointed.Iso.mk_hom_toFunstatement and proof · cited by 0
- Pointed.Iso.mk_inv_toFunstatement and proof · cited by 0