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Theorems · Theorem · ring theory

MonoidAlgebra.ofMagma_apply

∀ (R : Type u_8) (M : Type u_9) [inst : Semiring R] [inst_1 : Mul M] (a : M),
  (MonoidAlgebra.ofMagma R M) a = MonoidAlgebra.single a 1
Defined in
Mathlib.Algebra.MonoidAlgebra.Defs
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringMul
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Around this declaration

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

MonoidAlgebra.mem_span_support_coeff · cited by 2MonoidAlgebra.mem_span_su…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringMonoidAlgebra · cited by 590MonoidAlgebraMulHom · cited by 299MulHomMonoidAlgebra.single · cited by 253MonoidAlgebra.singleMonoidAlgebra.ofMagma · cited by 4MonoidAlgebra.ofMagmaMonoidAlgebra.ofMagma_applyCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.