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Theorems · Theorem · ring theory

AddMonoidAlgebra.single_right_inj

∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] {r₁ r₂ : R} {m : M},
  AddMonoidAlgebra.single m r₁ = AddMonoidAlgebra.single m r₂ ↔ r₁ = r₂
Defined in
Mathlib.Algebra.MonoidAlgebra.Defs
Cited by
1 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
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AddMonoidAlgebra.single_right_injective · cited by 2AddMonoidAlgebra.single_r…Semiring · cited by 13802SemiringAddMonoidAlgebra · cited by 649AddMonoidAlgebraAddMonoidAlgebra.single · cited by 250AddMonoidAlgebra.singleAddMonoidAlgebra.single_inj · cited by 4AddMonoidAlgebra.single_i…AddMonoidAlgebra.single_right…CITED BYCITES

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