Theorems · Theorem · commutative algebra
MvPolynomial.map_rename
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} {S : Type u_5} [inst : CommSemiring R] [inst_1 : CommSemiring S]
(f : R →+* S) (g : σ → τ) (p : MvPolynomial σ R),
(MvPolynomial.map f) ((MvPolynomial.rename g) p) = (MvPolynomial.rename g) ((MvPolynomial.map f) p)- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringCommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- RingHomstatement and proof · cited by 10,189
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- map_mulproof · cited by 1,137
- map_addproof · cited by 964
- MvPolynomial.Xproof · cited by 552
- MvPolynomial.Cproof · cited by 400
- MvPolynomial.renamestatement and proof · cited by 168
- MvPolynomial.mapstatement and proof · cited by 147
Cited by8
Results whose statement or proof uses this declaration.
- wittStructureInt_propproof · cited by 4
- eq_wittStructureIntproof · cited by 1
- bind₁_rename_expand_wittPolynomialproof · cited by 1
- C_p_pow_dvd_bind₁_rename_wittPolynomial_sub_sumproof · cited by 1
- wittStructureInt_renameproof · cited by 0
- MvPolynomial.IsSymmetric.mapproof · cited by 0
- MvPolynomial.map_comp_renameproof · cited by 0
- witt_structure_propproof · cited by 0