def
definition
def or abbrev
consistent
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formal statement (Lean)
109def consistent {n} (s : BPState n) (φ : CNF n) (H : XORSystem n) : Prop :=
proof body
Definition body.
110 ∃ a : Assignment n, (∀ v, s.assign v = some (a v)) ∧
111 evalCNF a φ = true ∧ satisfiesSystem a H
112
113/-- Compatibility: a partial assignment agrees with a total assignment on known bits. -/
used by (40)
-
CircuitWithEvalDecides -
BackpropSucceeds -
bp_step_monotone -
complete -
complete_completeStateFrom -
consistent_completeStateFrom -
c020_derivation_strategy -
implications -
Omega_Lambda_positive -
current_observations_consistent -
DarkEnergyFalsifier -
crossSectionRatio_band -
cosmological_constant_resolution -
rs_flatness_necessity -
predictions -
empiricalCentral_in_band -
experimentalStatus -
InflationFalsifier -
w_mass_sigma_comparison -
printExamples -
ml_from_phase_ratio -
recoveryTime_strict_mono -
juglar_band -
anomaly_dissolved -
Trace -
calibration_pos -
ConfigSpace -
inconsistent_of_join_indep_right -
interaction_implies_entangling -
no_interaction_implies_additive