Theorems · Theorem · field theory
Polynomial.IsUnitTrinomial.irreducible_aux3
∀ {p q : Polynomial ℤ} {k m m' n : ℕ},
k < m →
m < n →
k < m' →
m' < n →
∀ (u v w x z : ℤˣ),
p = Polynomial.trinomial k m n ↑u ↑v ↑w →
q = Polynomial.trinomial k m' n ↑x ↑v ↑z → p * p.mirror = q * q.mirror → q = p ∨ q = p.mirror- Defined in
- Mathlib.Algebra.Polynomial.UnitTrinomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites43
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Polynomialstatement and proof · cited by 5,681
- mul_oneproof · cited by 3,885
- Unitsstatement and proof · cited by 2,804
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- Units.valstatement and proof · cited by 1,966
- mul_assocproof · cited by 1,667
- add_commproof · cited by 1,535
- Polynomial.evalproof · cited by 796
- add_assocproof · cited by 746
- one_powproof · cited by 521
- Polynomial.leadingCoeffproof · cited by 498
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.IsUnitTrinomial.irreducible_of_coprimeproof · cited by 2