Theorems · Theorem · ring theory
AddMonoidAlgebra.coeffEquiv_symm_apply
∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] (coeff : M →₀ R),
AddMonoidAlgebra.coeffEquiv.symm coeff = AddMonoidAlgebra.ofCoeff coeff- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Equivstatement · cited by 8,337
- Finsuppstatement and proof · cited by 5,255
- Equiv.symmstatement and proof · cited by 3,681
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidAlgebra.coeffEquivstatement and proof · cited by 22
Cited by4
Results whose statement or proof uses this declaration.
- PowerBasis.mem_span_pow'proof · cited by 2
- Polynomial.linearIndependent_powers_iff_aevalproof · cited by 0
- AddMonoidAlgebra.map_injectiveproof · cited by 0
- AddMonoidAlgebra.map_surjectiveproof · cited by 0