Theorems · Definition · ring theory
RingEquiv.toEquiv
{R : Type u_7} →
{S : Type u_8} → [inst : Mul R] → [inst_1 : Mul S] → [inst_2 : Add R] → [inst_3 : Add S] → R ≃+* S → R ≃ SThe "plain" equivalence of types underlying an equivalence of (semi)rings.
- Defined in
- Mathlib.Algebra.Ring.Equiv
- Cited by
- 101 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 5 definitions · uses no axioms
Around this declaration
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Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by214
Results whose statement or proof uses this declaration.
- AlgEquiv.symmproof · cited by 615
- AlgEquiv.transproof · cited by 108
- AlgEquiv.restrictScalarsproof · cited by 60
- RingEquiv.apply_symm_applyproof · cited by 53
- AlgEquiv.reflproof · cited by 50
- IsLocalization.algEquivproof · cited by 45
- AlgEquiv.ofBijectiveproof · cited by 34
- RingEquiv.symm_apply_applyproof · cited by 30
- RingEquiv.map_add'statement · cited by 26
- RingEquiv.map_mul'statement · cited by 26
- RingEquiv.toMulEquivproof · cited by 26
- AddMonoidAlgebra.domCongrproof · cited by 21
Showing the 200 most cited of 214.