Mathlib Map

Theorems · Theorem · ring theory

AddMonoidAlgebra.mapDomain_injective

∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} [inst : Semiring R] {f : M → N},
  Function.Injective f → Function.Injective (AddMonoidAlgebra.mapDomain f)
Defined in
Mathlib.Algebra.MonoidAlgebra.MapDomain
Cited by
1 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
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Around this declaration

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

MvPolynomial.rename_injective · cited by 11MvPolynomial.rename_injec…Semiring · cited by 13802SemiringAddMonoidAlgebra · cited by 649AddMonoidAlgebraAddMonoidAlgebra.mapDomain · cited by 17AddMonoidAlgebra.mapDomainFinsupp.mapDomain_injective · cited by 16Finsupp.mapDomain_injecti…AddMonoidAlgebra.coeff_injective · cited by 3AddMonoidAlgebra.coeff_in…AddMonoidAlgebra.ofCoeff_injective · cited by 2AddMonoidAlgebra.ofCoeff_…AddMonoidAlgebra.mapDomain_in…CITED BYCITES

Cites6

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Cited by1

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