∀ {R : Type u_1} {S : Type u_2} {T : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
  [inst_3 : Algebra R S] [inst_4 : Algebra R T] (P : StandardEtalePresentation R S),
  P.baseChange = { P := P.map (algebraMap R T), x := 1 ⊗ₜ[R] P.x, hasMap := ⋯, lift_bijective := ⋯ }