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Theorems · Theorem · commutative algebra

Function.support_const_smul_subset

∀ {α : Type u_1} {R : Type u_2} {M : Type u_3} [inst : Zero M] [inst_1 : SMulZeroClass R M] (a : R) (f : α → M),
  Function.support (a • f) ⊆ Function.support f
Defined in
Mathlib.Algebra.Module.Basic
Cited by
2 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
ZeroSMulZeroClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

HahnSeries.support_smul_subset · cited by 1HahnSeries.support_smul_s…MeasureTheory.FinStronglyMeasurable.const_smul · cited by 1FinStronglyMeasurable.con…Set · cited by 53352SetFunction.support · cited by 610Function.supportSMulZeroClass · cited by 213SMulZeroClassFunction.support_smul_subset_right · cited by 5Function.support_smul_sub…Function.support_const_smul_s…CITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.