Theorems · Definition · commutative algebra
Shrink.ringEquiv
(α : Type u_1) → [inst : Small.{v, u_1} α] → [inst_1 : Add α] → [inst_2 : Mul α] → Shrink.{v, u_1} α ≃+* αShrink α to a smaller universe preserves ring structure.
- Defined in
- Mathlib.Algebra.Ring.Shrink
- Cited by
- 1 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
- RingEquivstatement · cited by 1,147
- Smallstatement and proof · cited by 369
- Shrinkstatement · cited by 132
- equivShrinkproof · cited by 118
- Equiv.ringEquivproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.FormallyUnramified.iff_comp_injective_of_smallproof · cited by 4