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Theorems · Theorem · group theory

Function.support_nsmul

∀ {α : Type u_1} {M : Type u_2} [inst : AddMonoid M] (f : α → M) (n : ℕ),
  (Function.support fun x => n • f x) ⊆ Function.support f
Defined in
Mathlib.Algebra.Group.Support
Cited by
1 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoid
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Around this declaration

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

tsupport_nsmul · cited by 0tsupport_nsmulSet · cited by 53352SetLE.le.trans · cited by 3151le.transAddMonoid · cited by 2864AddMonoidFunction.support · cited by 610Function.supportSet.Subset.rfl · cited by 255Subset.rflzero_nsmul · cited by 137zero_nsmulSet.union_subset · cited by 71Set.union_subsetSet.empty_subset · cited by 70Set.empty_subsetsucc_nsmul' · cited by 25succ_nsmul'Function.support_add · cited by 7Function.support_addFunction.support_fun_zero · cited by 6Function.support_fun_zeroFunction.support_nsmulCITED BYCITES

Cites11

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Cited by1

Results whose statement or proof uses this declaration.