Theorems · Theorem · commutative algebra

PowerBasis.lift.congr_simp

∀ {S : Type u_2} [inst : Ring S] {A : Type u_4} [inst_1 : CommRing A] [inst_2 : Algebra A S] {S' : Type u_7}
  [inst_3 : Ring S'] [inst_4 : Algebra A S'] (pb pb_1 : PowerBasis A S) (e_pb : pb = pb_1) (y y_1 : S') (e_y : y = y_1)
  (hy : (Polynomial.aeval y) (minpoly A pb.gen) = 0), pb.lift y hy = pb_1.lift y_1 ⋯

Defined in

Mathlib.RingTheory.PowerBasis

Cited by

0 results in Mathlib

Foundations

Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingCommRingAlgebraRingAlgebra