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Theorems · Theorem · group theory

SubMulAction.smul_mem

∀ {R : Type u} {M : Type v} [inst : SMul R M] (p : SubMulAction R M) {x : M} (r : R), x ∈ p → r • x ∈ p
Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction
Cited by
5 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
SMul
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SubMulAction.smul_of_tower_mem · cited by 2SubMulAction.smul_of_towe…SemigroupIdeal.mul_mem · cited by 1SemigroupIdeal.mul_memSubMulAction.neg_mem · cited by 1SubMulAction.neg_memSubMulAction.zero_mem · cited by 0SubMulAction.zero_memSemigroupIdeal.fg_of_wellQuasiOrderedLE · cited by 0SemigroupIdeal.fg_of_well…SubMulAction · cited by 120SubMulActionSubMulAction.smul_mem' · cited by 1SubMulAction.smul_mem'SubMulAction.smul_memCITED BYCITES

Cites2

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Cited by5

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