Theorems · Theorem · commutative algebra
Finsupp.degree_comapDomain_le_of_canonicallyOrderedAdd
∀ {σ : Type u_1} {M : Type u_2} {τ : Type u_5} {f : σ → τ} [inst : AddCommMonoid M] [inst_1 : PartialOrder M]
[CanonicallyOrderedAdd M] {x : τ →₀ M} (hf : Set.InjOn f (f ⁻¹' ↑x.support)),
Finsupp.degree (Finsupp.comapDomain f x hf) ≤ Finsupp.degree x- Defined in
- Mathlib.Data.Finsupp.Weight
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement and proof · cited by 8,199
- PartialOrderstatement and proof · cited by 6,410
- Finsuppstatement and proof · cited by 5,255
- Finset.sumproof · cited by 5,195
- Set.preimagestatement and proof · cited by 4,946
- AddMonoidHomstatement · cited by 3,230
- Finset.sum_congrproof · cited by 2,323
- Finset.filterproof · cited by 949
- Finsupp.supportstatement and proof · cited by 828
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