Theorems · Theorem · order theory
Finsupp.mapDomain_nonneg
∀ {ι : Type u_1} {κ : Type u_2} {α : Type u_3} [inst : AddCommMonoid α] [inst_1 : Preorder α] [IsOrderedAddMonoid α]
{f : ι → κ} {g : ι →₀ α}, 0 ≤ g → 0 ≤ Finsupp.mapDomain f g- Defined in
- Mathlib.Data.Finsupp.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Preorderstatement and proof · cited by 7,952
- Finsuppstatement and proof · cited by 5,255
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Finsupp.mapDomainstatement and proof · cited by 168
- Finsupp.mapDomain_zeroproof · cited by 15
- Finsupp.mapDomain_monoproof · cited by 2
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