Theorems · Theorem · commutative algebra
MvPolynomial.rename_X
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} [inst : CommSemiring R] (f : σ → τ) (i : σ),
(MvPolynomial.rename f) (MvPolynomial.X i) = MvPolynomial.X (f i)- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 48 results in Mathlib
- Foundations
- Depth 87 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- Finsupp.singleproof · cited by 943
- MvPolynomial.Xstatement · cited by 552
- AddMonoidAlgebra.singleproof · cited by 250
- MvPolynomial.renamestatement · cited by 168
- Finsupp.mapDomain_singleproof · cited by 48
- AddMonoidAlgebra.mapDomain_singleproof · cited by 23
- Finsupp.mapDomain.addMonoidHomproof · cited by 19
Cited by48
Results whose statement or proof uses this declaration.
- MvPolynomial.map_renameproof · cited by 8
- MvPolynomial.rename_eq_aevalproof · cited by 5
- MvPolynomial.transcendental_supported_polynomial_aeval_Xproof · cited by 4
- MvPolynomial.eval₂_renameproof · cited by 3
- MvPolynomial.exists_rename_eq_of_vars_subset_rangeproof · cited by 3
- MvPolynomial.pderiv_renameproof · cited by 2
- MvPolynomial.aeval_toPolynomialAdjoinImageCompl_eq_zeroproof · cited by 2
- MvPolynomial.coeff_toPolynomialAdjoinImageCompl_ne_zeroproof · cited by 2
- algebraicIndependent_comp_subtypeproof · cited by 2
- MvPolynomial.rename_esymmproof · cited by 2
- PolynomialLaw.isCompat_applyproof · cited by 2
- MvPolynomial.constantCoeff_renameproof · cited by 2