Theorems · Definition · category theory
AddCommGrpCat.uliftZMultiplesAddEquiv
(G : AddCommGrpCat) → (AddCommGrpCat.of (ULift.{u_1, 0} ℤ) ⟶ G) ≃+ ↑GThe additive equivalence (ℤ ⟶ G) ≃+ G
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AddEquivstatement · cited by 1,087
- AddEquiv.symmproof · cited by 530
- AddCommGrpCatstatement and proof · cited by 462
- AddCommGrpCat.carrierstatement and proof · cited by 407
- AddCommGrpCat.ofstatement · cited by 97
- AddEquiv.transproof · cited by 53
- uliftZMultiplesHomproof · cited by 4
- AddCommGrpCat.homAddEquivproof · cited by 3
- AddEquiv.mk'proof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Sheaf.H.equiv₀proof · cited by 2
- CategoryTheory.Sheaf.H.equiv₀_naturalityproof · cited by 0
- AddCommGrpCat.uliftZMultiplesAddEquiv_applystatement and proof · cited by 0
- AddCommGrpCat.uliftZMultiplesAddEquiv_symm_apply_hom_applystatement and proof · cited by 0