English
For a bijection f: σ ≃ τ, renameEquiv R f is an algebra equivalence between MvPolynomial σ R and MvPolynomial τ R with forward map rename f and inverse rename f.symm.
Русский
Для биекция f: σ ≃ τ, renameEquiv R f является алгебраическим эквивалентом между MvPolynomial σ R и MvPolynomial τ R с переименованием вперед rename f и обратным rename f.symm.
LaTeX
$$$\\text{renameEquiv } R f: MvPolynomial(\\sigma,R) \\simeq_a[R] MvPolynomial(\\tau,R)$ with toFun = rename f, invFun = rename f^{-1}.$$$
Lean4
@[simp]
theorem killCompl_rename_app (p : MvPolynomial σ R) : killCompl hf (rename f p) = p :=
AlgHom.congr_fun (killCompl_comp_rename hf) p