Theorems · Theorem · commutative algebra
ValuationSubring.pointwise_smul_toSubring
∀ {K : Type u} [inst : Field K] {G : Type u_1} [inst_1 : Group G] [inst_2 : MulSemiringAction G K] (g : G)
(S : ValuationSubring K), (g • S).toSubring = g • S.toSubring- Cited by
- 0 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldGroupMulSemiringAction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Groupstatement and proof · cited by 6,238
- Subringstatement · cited by 602
- MulSemiringActionstatement and proof · cited by 423
- ValuationSubringstatement and proof · cited by 187
- ValuationSubring.toSubringstatement · cited by 32
- Subring.pointwiseMulActionstatement · cited by 23
- ValuationSubring.pointwiseHasSMulstatement · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- ValuationSubring.pointwiseMulActionproof · cited by 0