Theorems · Theorem · commutative algebra
MvPolynomial.rename_id
∀ {σ : Type u_1} {R : Type u_4} [inst : CommSemiring R], MvPolynomial.rename id = AlgHom.id R (MvPolynomial σ R)- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement and proof · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- AddMonoidAlgebraproof · cited by 649
- AlgHom.idstatement and proof · cited by 196
- MvPolynomial.renamestatement · cited by 168
- AddMonoidAlgebra.mapDomainAlgHomproof · cited by 13
- Finsupp.mapDomain.addMonoidHom_idproof · cited by 1
- AddMonoidAlgebra.mapDomainAlgHom_idproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- Algebra.IsStandardSmoothOfRelativeDimension.exists_etale_mvPolynomialproof · cited by 1
- MvPolynomial.rename_id_applyproof · cited by 1
- MvPolynomial.rename_leftInverseproof · cited by 1
- MvPolynomial.totalDegree_renameEquivproof · cited by 1
- MvPolynomial.isIntegral_iff_isIntegral_coeffproof · cited by 1
- MvPolynomial.irreducible_mul_X_addproof · cited by 1
- Algebra.PreSubmersivePresentation.jacobian_reindexproof · cited by 0
- MvPolynomial.isSymmetric_renameproof · cited by 0
- MvPolynomial.renameEquiv_reflproof · cited by 0