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Theorems · Theorem · ring theory

AddMonoidAlgebra.leadingCoeff_zero

∀ {R : Type u_1} {A : Type u_3} {B : Type u_5} [inst : Semiring R] [inst_1 : LinearOrder B] [inst_2 : OrderBot B]
  {D : A → B} [inst_3 : Nonempty A], AddMonoidAlgebra.leadingCoeff D 0 = 0
Defined in
Mathlib.Algebra.MonoidAlgebra.Degree
Cited by
1 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringLinearOrderOrderBotNonempty
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Around this declaration

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AddMonoidAlgebra.leadingCoeff_eq_zero · cited by 9AddMonoidAlgebra.leadingC…Semiring · cited by 13802SemiringLinearOrder · cited by 8572LinearOrderOrderBot · cited by 1055OrderBotAddMonoidAlgebra · cited by 649AddMonoidAlgebraAddMonoidAlgebra.leadingCoeff · cited by 23AddMonoidAlgebra.leadingC…AddMonoidAlgebra.leadingCoeff…CITED BYCITES

Cites5

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Cited by1

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