Theorems · Theorem · ring theory
Subsemiring.smul_sup
∀ {M : Type u_1} {R : Type u_2} [inst : Monoid M] [inst_1 : Semiring R] [inst_2 : MulSemiringAction M R] (a : M)
(S T : Subsemiring R), a • (S ⊔ T) = a • S ⊔ a • T- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- Subsemiringstatement and proof · cited by 456
- MulSemiringActionstatement and proof · cited by 423
- MulSemiringAction.toRingHomproof · cited by 23
- Subsemiring.pointwiseMulActionstatement · cited by 22
- Subsemiring.map_supproof · cited by 1
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