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Theorems · Theorem · ring theory

AddMonoidAlgebra.coeff_injective

∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R], Function.Injective AddMonoidAlgebra.coeff
Defined in
Mathlib.Algebra.MonoidAlgebra.Defs
Cited by
3 results in Mathlib
Foundations
Depth 15 from the axioms · uses Quot.sound
Assumes
Semiring
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Around this declaration

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

AddMonoidAlgebra.coeff_inj · cited by 5AddMonoidAlgebra.coeff_injIsSMulRegular.polynomial · cited by 1IsSMulRegular.polynomialAddMonoidAlgebra.mapDomain_injective · cited by 1AddMonoidAlgebra.mapDomai…Semiring · cited by 13802SemiringFinsupp · cited by 5255FinsuppAddMonoidAlgebra · cited by 649AddMonoidAlgebraEquiv.injective · cited by 464Equiv.injectiveAddMonoidAlgebra.coeff · cited by 365AddMonoidAlgebra.coeffAddMonoidAlgebra.coeffEquiv · cited by 22AddMonoidAlgebra.coeffEqu…AddMonoidAlgebra.coeff_inject…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.