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Theorems · Theorem · ring theory

MonoidAlgebra.coeff_injective

∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R], Function.Injective MonoidAlgebra.coeff
Defined in
Mathlib.Algebra.MonoidAlgebra.Defs
Cited by
2 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.

MonoidAlgebra.coeff_inj · cited by 2MonoidAlgebra.coeff_injMonoidAlgebra.mapDomain_injective · cited by 0MonoidAlgebra.mapDomain_i…Semiring · cited by 13802SemiringFinsupp · cited by 5255FinsuppMonoidAlgebra · cited by 590MonoidAlgebraEquiv.injective · cited by 464Equiv.injectiveMonoidAlgebra.coeff · cited by 224MonoidAlgebra.coeffMonoidAlgebra.coeffEquiv · cited by 12MonoidAlgebra.coeffEquivMonoidAlgebra.coeff_injectiveCITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.