Theorems · Theorem · commutative algebra
MvPolynomial.renameEquiv_apply
∀ {σ : Type u_1} {τ : Type u_2} (R : Type u_4) [inst : CommSemiring R] (f : σ ≃ τ) (a : MvPolynomial σ R),
(MvPolynomial.renameEquiv R f) a = (MvPolynomial.rename ⇑f) a- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 93 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.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement and proof · cited by 8,337
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivstatement · cited by 1,681
- MvPolynomial.renamestatement · cited by 168
- MvPolynomial.renameEquivstatement and proof · cited by 22
Cited by11
Results whose statement or proof uses this declaration.
- MvPolynomial.transcendental_supported_polynomial_aeval_Xproof · cited by 4
- MvPolynomial.aeval_toPolynomialAdjoinImageCompl_eq_zeroproof · cited by 2
- MvPolynomial.isUnit_iffproof · cited by 2
- MvPolynomial.coeff_toPolynomialAdjoinImageCompl_ne_zeroproof · cited by 2
- MvPolynomial.irreducible_toPolynomialAdjoinImageComplproof · cited by 1
- MvPolynomial.finSuccEquiv_eqproof · cited by 1
- Algebra.IsStandardSmoothOfRelativeDimension.exists_etale_mvPolynomialproof · cited by 1
- RingHom.FinitePresentation.polynomial_inductionproof · cited by 1
- MvPolynomial.irreducible_mul_X_addproof · cited by 1
- MvPolynomial.degreeOf_C_mulproof · cited by 0
- MvPolynomial.renameEquiv_reflproof · cited by 0