Theorems · Theorem · ring theory
MulSemiringAction.toRingEquiv_symm_apply
Deprecated since 2026-06-19Use MulSemiringAction.toRingEquiv_apply_symm_apply instead.
∀ (G : Type u_1) [inst : Group G] (R : Type u_2) [inst_1 : Semiring R] [inst_2 : MulSemiringAction G R] (x : G) (a : R), ((MulSemiringAction.toRingEquiv G R) x).symm a = x⁻¹ • a
Alias of MulSemiringAction.toRingEquiv_apply_symm_apply.
- Defined in
- Mathlib.Algebra.Ring.Action.Group
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement · cited by 13,802
- Groupstatement · cited by 6,238
- MonoidHomstatement · cited by 3,629
- RingEquivstatement · cited by 1,147
- RingEquiv.symmstatement · cited by 567
- MulSemiringActionstatement · cited by 423
- MulSemiringAction.toRingEquivstatement · cited by 13
- MulSemiringAction.toRingEquiv_apply_symm_applyproof · cited by 4
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