Theorems · Theorem · ring theory
Subsemiring.mem_inv_pointwise_smul_iff
∀ {M : Type u_1} {R : Type u_2} [inst : Group M] [inst_1 : Semiring R] [inst_2 : MulSemiringAction M R] {a : M}
{S : Subsemiring R} {x : R}, x ∈ a⁻¹ • S ↔ a • x ∈ S- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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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
- Groupstatement and proof · cited by 6,238
- Subsemiringstatement and proof · cited by 456
- MulSemiringActionstatement and proof · cited by 423
- Subsemiring.pointwiseMulActionstatement · cited by 22
- Set.mem_inv_smul_set_iffproof · cited by 12
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