Theorems · Theorem · ring theory
AddMonoidAlgebra.monic_one
∀ {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 : AddZeroClass A], Function.Injective D → AddMonoidAlgebra.Monic D 1- Defined in
- Mathlib.Algebra.MonoidAlgebra.Degree
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- LinearOrderstatement and proof · cited by 8,572
- AddZeroClassstatement and proof · cited by 1,237
- OrderBotstatement and proof · cited by 1,055
- AddMonoidAlgebrastatement and proof · cited by 649
- AddMonoidAlgebra.leadingCoeffproof · cited by 23
- AddMonoidAlgebra.Monicstatement · cited by 12
- AddMonoidAlgebra.one_defproof · cited by 3
- AddMonoidAlgebra.leadingCoeff_singleproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.Monic.powproof · cited by 3
- MvPolynomial.monic_esymmproof · cited by 2