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Theorems · Theorem · ring theory

SkewMonoidAlgebra.single_injective

∀ {k : Type u_1} {G : Type u_2} [inst : AddMonoid k] (a : G), Function.Injective (SkewMonoidAlgebra.single a)
Defined in
Mathlib.Algebra.SkewMonoidAlgebra.Basic
Cited by
2 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SkewPolynomial.monomial_injective · cited by 2SkewPolynomial.monomial_i…IsSMulRegular.skewMonoidAlgebra_iff · cited by 0IsSMulRegular.skewMonoidA…AddMonoid · cited by 2864AddMonoidAddEquiv.symm · cited by 530AddEquiv.symmSkewMonoidAlgebra · cited by 216SkewMonoidAlgebraSkewMonoidAlgebra.single · cited by 83SkewMonoidAlgebra.singleAddEquiv.injective · cited by 58AddEquiv.injectiveSkewMonoidAlgebra.coeffAddEquiv · cited by 9SkewMonoidAlgebra.coeffAd…Finsupp.single_injective · cited by 9Finsupp.single_injectiveSkewMonoidAlgebra.single_inje…CITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.