def
definition
def or abbrev
HitsBalancedPhase
show as:
view Lean formalization →
formal statement (Lean)
47def HitsBalancedPhase (n c : ℕ) : Prop :=
proof body
Definition body.
48 ∃ x N : ℕ, ∃ box : DivisorExponentBox N,
49 0 < n ∧ 0 < c ∧ 0 < x ∧ 0 < N ∧
50 N = n * x ∧
51 c = 4 * x - n ∧
52 c ∣ N + boxDivisor box ∧
53 c ∣ N + boxComplement box
54
55/-- The finite box-to-pair closure lemma. A box phase hit is exactly the
56balanced-pair support required by the RCL skeleton. -/
used by (14)
-
box_phase_hit_gives_balanced_pair -
box_phase_hit_gives_repr -
HitsBalancedPhaseLogic -
hitsBalancedPhaseLogic_iff_classical -
hits_admissible_gate -
GateFails -
PrimePhaseBoxDistribution -
DivisorCharacterSumBound -
generated_phase_hit_gives_HitsBalancedPhase -
generated_phase_hit_gives_repr -
hitsBalancedPhase_iff_nonempty_subsetProductPhaseHit -
subsetProductPhaseHit_of_hitsBalancedPhase -
admissibleGatesByIndex_admissible -
hits_balanced_phase_of_floor_and_budget