Theorems · Inductive type · ring theory
RingEquiv
(R : Type u_7) → (S : Type u_8) → [Mul R] → [Mul S] → [Add R] → [Add S] → Type (max u_7 u_8)
An equivalence between two (non-unital non-associative semi)rings that preserves the algebraic structure.
- Defined in
- Mathlib.Algebra.Ring.Equiv
- Cited by
- 1,147 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by1,604
Results whose statement or proof uses this declaration.
- AlgEquiv.symmproof · cited by 615
- RingEquiv.symmstatement and proof · cited by 567
- RingEquiv.toRingHomstatement and proof · cited by 150
- AlgEquiv.toRingEquivstatement · cited by 137
- AlgEquiv.transproof · cited by 108
- RingEquiv.toEquivstatement and proof · cited by 101
- RingHom.RespectsIsoproof · cited by 78
- RingEquiv.reflstatement · cited by 72
- AlgEquiv.restrictScalarsproof · cited by 60
- RingEquiv.transstatement and proof · cited by 54
- RingEquiv.apply_symm_applystatement and proof · cited by 53
- AlgEquiv.reflproof · cited by 50
Showing the 200 most cited of 1,604.