Theorems · Theorem · group theory
SubMulAction.zero_mem
∀ {R : Type u} {M : Type v} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (p : SubMulAction R M),
(↑p).Nonempty → 0 ∈ p- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
- Assumes
- SemiringAddCommMonoidModule
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement and proof · cited by 8,199
- Set.Nonemptystatement and proof · cited by 2,627
- zero_smulproof · cited by 716
- SubMulActionstatement and proof · cited by 120
- SubMulAction.smul_memproof · cited by 5
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