Theorems · Theorem · commutative algebra
Function.support_smul_subset_right
∀ {α : Type u_1} {R : Type u_2} {M : Type u_3} [inst : Zero M] [inst_1 : SMulZeroClass R M] (f : α → R) (g : α → M),
Function.support (f • g) ⊆ Function.support g- Defined in
- Mathlib.Algebra.Module.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- ZeroSMulZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- smul_zeroproof · cited by 665
- Function.supportstatement and proof · cited by 610
- SMulZeroClassstatement and proof · cited by 213
- Pi.smul_apply'proof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- HahnSeries.orderTop_smul_not_ltproof · cited by 2
- tsupport_smul_subset_rightproof · cited by 2
- Function.support_const_smul_subsetproof · cited by 2
- Function.HasFiniteSupport.smul_rightproof · cited by 1
- HahnSeries.order_smul_not_ltproof · cited by 1