Theorems · Definition · commutative algebra
MvPolynomial.renameEquiv
{σ : Type u_1} →
{τ : Type u_2} → (R : Type u_4) → [inst : CommSemiring R] → σ ≃ τ → MvPolynomial σ R ≃ₐ[R] MvPolynomial τ RMvPolynomial.rename e is an equivalence when e is.
- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 92 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement and proof · cited by 8,337
- Finsuppstatement · cited by 5,255
- Equiv.symmproof · cited by 3,681
- AlgHomproof · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivstatement · cited by 1,681
- MvPolynomial.renameproof · cited by 168
Cited by25
Results whose statement or proof uses this declaration.
- MvPolynomial.finSuccEquivproof · cited by 22
- MvPolynomial.tensorEquivSumproof · cited by 13
- MvPolynomial.renameEquiv_applystatement and proof · cited by 11
- Algebra.FiniteType.iff_quotient_mvPolynomial''proof · cited by 10
- MvPolynomial.toPolynomialAdjoinImageComplproof · cited by 5
- MvPolynomial.transcendental_supported_polynomial_aeval_Xproof · cited by 4
- MvPolynomial.isUnit_iffproof · cited by 2
- MvPolynomial.degreeOf_mul_eqproof · cited by 2
- MvPolynomial.comp_C_integral_of_surjective_of_isJacobsonRingproof · cited by 2
- MvPolynomial.aeval_toPolynomialAdjoinImageCompl_eq_zeroproof · cited by 2
- MvPolynomial.coeff_toPolynomialAdjoinImageCompl_ne_zeroproof · cited by 2
- Algebra.IsStandardSmoothOfRelativeDimension.exists_etale_mvPolynomialproof · cited by 1