Theorems · Definition · ring theory
MulSemiringAction.toRingEquiv
(G : Type u_1) → [inst : Group G] → (R : Type u_2) → [inst_1 : Semiring R] → [MulSemiringAction G R] → G →* R ≃+* R
Each element of the group defines a semiring isomorphism.
- Defined in
- Mathlib.Algebra.Ring.Action.Group
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, 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.
- Semiringstatement and proof · cited by 13,802
- RingHomproof · cited by 10,189
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- RingEquivstatement · cited by 1,147
- AddEquivproof · cited by 1,087
- MulSemiringActionstatement and proof · cited by 423
- AddEquiv.toEquivproof · cited by 174
- MulSemiringAction.toRingHomproof · cited by 23
- DistribMulAction.toAddEquivproof · cited by 3
Cited by17
Results whose statement or proof uses this declaration.
- Unitary.conjStarAlgAutproof · cited by 26
- MulSemiringAction.toAlgEquivproof · cited by 11
- MulSemiringAction.toRingAutproof · cited by 8
- Ideal.pointwise_smul_eq_comapproof · cited by 5
- IsFractionRing.mulSemiringActionproof · cited by 4
- MulSemiringAction.toRingAut_applystatement · cited by 4
- MulSemiringAction.toRingEquiv_apply_symm_applystatement and proof · cited by 4
- IsArithFrobAt.conjproof · cited by 1
- MulSemiringAction.toRingEquiv_apply_applystatement and proof · cited by 1
- IsArithFrobAt.mem_stabilizerproof · cited by 1
- Unitary.toRingEquiv_conjStarAlgAutstatement · cited by 0
- Algebra.IsInvariant.exists_smul_of_under_eq_of_profiniteproof · cited by 0