Theorems · Theorem · ring theory
Subsemiring.pointwise_smul_subset_iff
∀ {M : Type u_1} {R : Type u_2} [inst : Group M] [inst_1 : Semiring R] [inst_2 : MulSemiringAction M R] {a : M}
{S T : Subsemiring R}, a • S ≤ T ↔ S ≤ a⁻¹ • T- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 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.smul_set_subset_iff_subset_inv_smul_setproof · cited by 9
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