Theorems · Theorem · commutative algebra
MvPolynomial.mapEquivMonic_symm_map_algebraMap
∀ {R : Type u_1} {S : Type u_2} {T : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
[inst_3 : Algebra R S] [inst_4 : Algebra R T] (n : ℕ) (p : Polynomial.MonicDegreeEq S n) [inst_5 : Algebra S T]
[inst_6 : IsScalarTower R S T],
(MvPolynomial.mapEquivMonic R T n).symm (p.map (algebraMap S T)) =
(IsScalarTower.toAlgHom R S T).comp ((MvPolynomial.mapEquivMonic R S n).symm p)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomproof · cited by 10,189
- Equivstatement · cited by 8,337
- Finsuppstatement · cited by 5,255
- Algebra.algebraMapstatement and proof · cited by 4,706
- IsScalarTowerstatement and proof · cited by 3,896
- Equiv.symmstatement and proof · cited by 3,681
- AlgHomstatement and proof · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- AlgHom.compstatement · cited by 501
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