Theorems · Theorem · commutative algebra
AdjoinRoot.algHom_subsingleton
∀ {R : Type u_1} [inst : CommRing R] {S : Type u_6} [inst_1 : CommRing S] [inst_2 : Algebra R S] {r : R},
Subsingleton (AdjoinRoot (Polynomial.C r * Polynomial.X - 1) →ₐ[R] S)- Defined in
- Mathlib.RingTheory.AdjoinRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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
- Algebrastatement and proof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Polynomialstatement · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement and proof · cited by 3,236
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- map_mulproof · cited by 1,137
- map_oneproof · cited by 861
- AdjoinRootstatement and proof · cited by 177
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