PowerBasis.adjoin_eq_top_of_gen_mem_adjoin

∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : Ring S] [inst_2 : Algebra R S] {B : PowerBasis R S}
  {x : S}, B.gen ∈ R[x] → R[x] = ⊤

Defined in: Mathlib.RingTheory.PowerBasis
Cited by: 0 results in Mathlib
Foundations: Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Ring Algebra

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