Theorems · Theorem · commutative algebra
MvPolynomial.rename_polynomial_aeval_X
∀ (R : Type u) [inst : CommSemiring R] {σ : Type u_2} {τ : Type u_3} (f : σ → τ) (i : σ) (p : Polynomial R),
(MvPolynomial.rename f) ((Polynomial.aeval (MvPolynomial.X i)) p) = (Polynomial.aeval (MvPolynomial.X (f i))) p- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 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.
Cites11
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
- Polynomialstatement and proof · cited by 5,681
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- Polynomial.aevalstatement and proof · cited by 615
- MvPolynomial.Xstatement and proof · cited by 552
- MvPolynomial.renamestatement and proof · cited by 168
- MvPolynomial.rename_Xproof · cited by 48
- Polynomial.aeval_algHom_applyproof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.transcendental_supported_polynomial_aeval_Xproof · cited by 4