Theorems · Theorem · commutative algebra
MvPolynomial.killCompl_map
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} {S : Type u_5} [inst : CommSemiring R] [inst_1 : CommSemiring S]
{f : σ → τ} (hf : Function.Injective f) (φ : R →+* S) (p : MvPolynomial τ R),
(MvPolynomial.killCompl hf) ((MvPolynomial.map φ) p) = (MvPolynomial.map φ) ((MvPolynomial.killCompl hf) p)- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 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.
Cites26
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 and proof · cited by 5,255
- Set.rangeproof · cited by 4,705
- Equiv.symmproof · cited by 3,681
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- map_zeroproof · cited by 1,614
- RingHom.compproof · cited by 899
- RingHomClass.toRingHomproof · cited by 746
- DFunLikeproof · cited by 576
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.isIntegral_iff_isIntegral_coeffproof · cited by 1