Theorems · Definition · ring theory
Subsemiring.pointwiseMulAction
{M : Type u_1} →
{R : Type u_2} → [inst : Monoid M] → [inst_1 : Semiring R] → [MulSemiringAction M R] → MulAction M (Subsemiring R)The action on a subsemiring corresponding to applying the action to every element.
This is available as an instance in the Pointwise locale.
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Monoidstatement and proof · cited by 3,887
- MulActionstatement · cited by 1,294
- Subsemiringstatement · cited by 456
- MulSemiringActionstatement and proof · cited by 423
Cited by22
Results whose statement or proof uses this declaration.
- Subsemiring.coe_pointwise_smulstatement · cited by 0
- Subring.pointwise_smul_toSubsemiringstatement · cited by 0
- Subsemiring.le_pointwise_smul_iff₀statement · cited by 0
- Subsemiring.smul_botstatement · cited by 0
- Subsemiring.smul_closurestatement · cited by 0
- Subsemiring.smul_mem_pointwise_smul_iffstatement · cited by 0
- Subsemiring.smul_mem_pointwise_smulstatement · cited by 0
- Subsemiring.smul_mem_pointwise_smul_iff₀statement · cited by 0
- Subsemiring.smul_supstatement · cited by 0
- Subsemiring.subset_pointwise_smul_iffstatement · cited by 0
- Subsemiring.pointwise_smul_subset_iffstatement · cited by 0
- Subalgebra.pointwise_smul_toSubsemiringstatement · cited by 0