Theorems · Theorem · commutative algebra
AdjoinRoot.algHom_ext_iff
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] {f : Polynomial R} [inst_1 : Semiring S] [inst_2 : Algebra R S]
{g₁ g₂ : AdjoinRoot f →ₐ[R] S}, g₁ = g₂ ↔ g₁ (AdjoinRoot.root f) = g₂ (AdjoinRoot.root f)- Defined in
- Mathlib.RingTheory.AdjoinRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement and proof · cited by 3,236
- AdjoinRootstatement and proof · cited by 177
- AdjoinRoot.rootstatement and proof · cited by 77
- AdjoinRoot.algHom_extproof · cited by 3
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