Theorems · Theorem · commutative algebra
MvPolynomial.killCompl_comp_rename
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} [inst : CommSemiring R] {f : σ → τ} (hf : Function.Injective f),
(MvPolynomial.killCompl hf).comp (MvPolynomial.rename f) = AlgHom.id R (MvPolynomial σ R)- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- Set.rangeproof · cited by 4,705
- Equiv.symmproof · cited by 3,681
- AlgHomstatement and proof · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.Xproof · cited by 552
- AlgHom.compstatement · cited by 501
- AlgHom.idstatement · cited by 196
- MvPolynomial.renamestatement · cited by 168
- MvPolynomial.aeval_Xproof · cited by 105
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.killCompl_rename_appproof · cited by 3