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Theorems · Theorem · ring theory

AddMonoidAlgebra.commRingEquiv_single_zero

∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : AddMonoid M] [inst_2 : AddMonoid N]
  (m : M),
  AddMonoidAlgebra.commRingEquiv (AddMonoidAlgebra.single m 1) = AddMonoidAlgebra.single 0 (AddMonoidAlgebra.single m 1)
Defined in
Mathlib.Algebra.MonoidAlgebra.MapDomain
Cited by
1 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringAddMonoidAddMonoid
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Around this declaration

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

AddMonoidAlgebra.commAlgEquiv_single_zero · cited by 1AddMonoidAlgebra.commAlgE…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringAddMonoid · cited by 2864AddMonoidRingEquiv · cited by 1147RingEquivAddMonoidAlgebra · cited by 649AddMonoidAlgebraAddMonoidAlgebra.single · cited by 250AddMonoidAlgebra.singleAddMonoidAlgebra.commRingEquiv · cited by 4AddMonoidAlgebra.commRing…AddMonoidAlgebra.commRingEquiv_single_single · cited by 3AddMonoidAlgebra.commRing…AddMonoidAlgebra.commRingEqui…CITED BYCITES

Cites8

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Cited by1

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