Theorems · Theorem · commutative algebra
AdjoinRoot.tensorAlgEquiv_root
∀ {R : Type u_6} {S : Type u_7} {T : Type u_8} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
[inst_3 : Algebra R S] [inst_4 : Algebra R T] (p : Polynomial S) (q : Polynomial (TensorProduct R T S))
(h : Polynomial.map Algebra.TensorProduct.includeRight.toRingHom p = q),
(AdjoinRoot.tensorAlgEquiv p q h) (1 ⊗ₜ[R] AdjoinRoot.root p) = AdjoinRoot.root q- Defined in
- Mathlib.RingTheory.AdjoinRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Polynomialstatement and proof · cited by 5,681
- one_mulproof · cited by 2,841
- TensorProductstatement and proof · cited by 2,545
- AlgEquivstatement · cited by 1,681
- TensorProduct.tmulstatement and proof · cited by 1,182
- map_oneproof · cited by 861
- Polynomial.mapstatement and proof · cited by 806
- RingHomClass.toRingHomproof · cited by 746
- AlgHom.toRingHomstatement and proof · cited by 490
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.