Theorems · Theorem · field theory

PerfectRing.liftAux.congr_simp

∀ {K : Type u_1} {L : Type u_2} {M : Type u_3} [inst : CommSemiring K] [inst_1 : CommSemiring L]
  [inst_2 : CommSemiring M] (i i_1 : K →+* L) (e_i : i = i_1) (j j_1 : K →+* M),
  j = j_1 →
    ∀ (p p_1 : ℕ) (e_p : p = p_1) [inst_3 : ExpChar M p] [inst_4 : PerfectRing M p] [inst_5 : IsPRadical i p]
      (x x_1 : L), x = x_1 → PerfectRing.liftAux i j p x = PerfectRing.liftAux i_1 j_1 p_1 x_1

Defined in

Mathlib.FieldTheory.IsPerfectClosure

Cited by

0 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringCommSemiringExpCharPerfectRingIsPRadical