Theorems · Theorem · ring theory
Subsemiring.coe_pointwise_smul
∀ {M : Type u_1} {R : Type u_2} [inst : Monoid M] [inst_1 : Semiring R] [inst_2 : MulSemiringAction M R] (m : M)
(S : Subsemiring R), ↑(m • S) = m • ↑S- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Semiringstatement and proof · cited by 13,802
- SetLike.coestatement · cited by 8,199
- Monoidstatement and proof · cited by 3,887
- Set.smulSetstatement · cited by 608
- Subsemiringstatement and proof · cited by 456
- MulSemiringActionstatement and proof · cited by 423
- Subsemiring.pointwiseMulActionstatement · cited by 22
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