Theorems · Theorem · commutative algebra
StandardEtalePair.HasMap.isUnit_derivative_f
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : StandardEtalePair R) {x : S}, P.HasMap x → IsUnit ((Polynomial.aeval x) (Polynomial.derivative P.f))- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- add_zeroproof · cited by 2,707
- MulZeroClass.zero_mulproof · cited by 1,625
- IsUnitstatement · cited by 1,602
- map_mulproof · cited by 1,137
- map_addproof · cited by 964
Cited by1
Results whose statement or proof uses this declaration.
- mem_adjoin_map_integralClosure_of_isStandardEtaleproof · cited by 0