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Theorems · Theorem · ring theory

AddMonoidAlgebra.sup_support_add_le

Deprecated since 2026-06-18Use AddMonoidAlgebra.sup_support_coeff_add_le instead.

∀ {R : Type u_1} {A : Type u_3} {B : Type u_5} [inst : SemilatticeSup B] [inst_1 : OrderBot B] [inst_2 : Semiring R]
  (degb : A → B) (f g : AddMonoidAlgebra R A),
  (f + g).coeff.support.sup degb ≤ f.coeff.support.sup degb ⊔ g.coeff.support.sup degb

Alias of AddMonoidAlgebra.sup_support_coeff_add_le.

Defined in
Mathlib.Algebra.MonoidAlgebra.Degree
Cited by
0 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemilatticeSupOrderBotSemiring
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Semiring · cited by 13802SemiringOrderBot · cited by 1055OrderBotFinsupp.support · cited by 828Finsupp.supportSemilatticeSup · cited by 785SemilatticeSupAddMonoidAlgebra · cited by 649AddMonoidAlgebraFinset.sup · cited by 530Finset.supAddMonoidAlgebra.coeff · cited by 365AddMonoidAlgebra.coeffAddMonoidAlgebra.sup_support_coeff_add_le · cited by 5AddMonoidAlgebra.sup_supp…AddMonoidAlgebra.sup_support_…CITED BYCITES

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