OAI/RepresentationTheory/FoulkesHowe/BlockInjectivity.lean
2 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.Problem346.PolynomialShift.eq_zero_of_shift_eq_zeroline 18Source documentation
A polynomial block shift is injective in strictly positive source-minus-destination weight. All other variable blocks are arbitrary spectators.
theorem eq_zero_of_shift_eq_zero (src dst : B) (hsd : src ≠ dst) {f : MvPolynomial (B × I) ℂ} {p q : ℕ} (hpq : q < p) (hp : IsBlockHomogeneous src f p) (hq : IsBlockHomogeneous dst f q) (hDf : shift src dst f = 0) : f = 0 := by …Mentions: OAI.Problem346.PolynomialShift.shift
- theorem
OAI.Problem346.PolynomialShift.shift_injOnline 43Source documentation
Injectivity on the intersection of two specified block-homogeneous pieces.
theorem shift_injOn (src dst : B) (hsd : src ≠ dst) (p q : ℕ) (hpq : q < p) : Set.InjOn (shift (K := ℂ) (I := I) src dst) …Mentions: OAI.Problem346.PolynomialShift.shift