Theorems · Theorem · commutative algebra
IsAdjoinRoot.ext_iff
∀ {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 = h' ↔ h.root = h'.root- Defined in
- Mathlib.RingTheory.IsAdjoinRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- IsAdjoinRootstatement and proof · cited by 61
- IsAdjoinRoot.rootstatement and proof · cited by 34
- IsAdjoinRoot.extproof · cited by 1
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