Theorems · Theorem · commutative algebra

Ideal.under_under

∀ {A : Type u_2} [inst : CommSemiring A] {B : Type u_3} [inst_1 : CommSemiring B] {C : Type u_4} [inst_2 : Semiring C]
  [inst_3 : Algebra A B] [inst_4 : Algebra B C] [inst_5 : Algebra A C] [IsScalarTower A B C] (𝔓 : Ideal C),
  Ideal.under A (Ideal.under B 𝔓) = Ideal.under A 𝔓

Defined in

Mathlib.RingTheory.Ideal.Over

Cited by

7 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringSemiringAlgebraAlgebraAlgebraIsScalarTower