Theorems · Definition · group theory
Shrink.addEquiv
{α : Type u_2} → [inst : Small.{v, u_2} α] → [inst_1 : Add α] → Shrink.{v, u_2} α ≃+ αShrink α to a smaller universe preserves addition.
- Defined in
- Mathlib.Algebra.Group.Shrink
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.symmproof · cited by 3,681
- AddEquivstatement · cited by 1,087
- Smallstatement and proof · cited by 369
- Shrinkstatement · cited by 132
- equivShrinkproof · cited by 118
- Equiv.addEquivproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- AddCommGrpCat.Colimits.colimitCoconeproof · cited by 4
- AddCommGrpCat.Colimits.colimitCocone_ι_appstatement · cited by 0
- AddCommGrpCat.Colimits.Quot.desc_colimitCoconestatement · cited by 0