Theorems · Theorem · commutative algebra

IsAdjoinRoot.ext

∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : Ring S] {f : Polynomial R} [inst_2 : Algebra R S]
  (h h' : IsAdjoinRoot S f), h.root = h'.root → h = h'

Extensionality of the IsAdjoinRoot structure itself. See IsAdjoinRootMonic.ext_elem for extensionality of the ring elements.

Defined in

Mathlib.RingTheory.IsAdjoinRoot

Cited by

1 results in Mathlib

Foundations

Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebra