module
module
IndisputableMonolith.Foundation.PrimitiveRecognitionCalculus.PRCNativeCostUniqueness
show as:
view Lean formalization →
used by (5)
-
IndisputableMonolith.Cost.RealCharacterFactorization -
IndisputableMonolith.Foundation.PrimitiveRecognitionCalculus.Continuum.CharacterRigidityForcing -
IndisputableMonolith.Foundation.PrimitiveRecognitionCalculus.Continuum.ForcedJOnCompletion -
IndisputableMonolith.Foundation.PrimitiveRecognitionCalculus.PRCNativeCostSelection -
IndisputableMonolith.Foundation.PrimitiveRecognitionCalculus.UniversalFoundation
depends on (4)
declarations in this module (1168)
-
structure
PRCRatioCharacter -
def
costFromCharacter -
theorem
costFromCharacter_toRat -
def
doubledTraceValue -
def
nativeCostDoubledTrace -
theorem
doubledTraceValue_congr -
def
PRCDoubledTraceDAlembert -
theorem
nativeCostDoubledTrace_dAlembert_of_native_hypotheses -
structure
PRCDoubledTraceHypotheses -
theorem
nativeCostDoubledTrace_hypotheses_of_native_cost_hypotheses -
def
PRCCharacterTraceMatchesCost -
theorem
PRCCharacterTraceMatchesCost_of_cost_crossEq -
theorem
cost_crossEq_of_PRCCharacterTraceMatchesCost -
def
PRCNativeCostCharacterTraceLiftTarget -
def
PRCDoubledTraceCoherentRootTarget -
def
zeroSpikeDoubledTrace -
theorem
zeroSpikeDoubledTrace_zero -
theorem
zeroSpikeDoubledTrace_nonzero -
theorem
zeroSpikeDoubledTrace_hypotheses -
theorem
zeroSpikeDoubledTrace_no_ratio_character_trace -
theorem
PRCDoubledTraceCoherentRootTarget_refuted -
def
PRCDoubledTraceZeroCalibrated -
theorem
zeroSpikeDoubledTrace_not_zero_calibrated -
def
PRCDoubledTraceZeroCalibratedCoherentRootTarget -
def
traceRootDenominator -
theorem
traceRootDenominator_toRat -
def
traceRootCandidate -
theorem
traceRootCandidate_zero -
theorem
traceRootCandidate_toRat_of_nonzero -
def
PRCDoubledTraceLinearRootCandidateWorks -
def
PRCDoubledTraceZeroCalibratedLinearRootTarget -
theorem
PRCDoubledTraceZeroCalibratedCoherentRootTarget_of_linear_root -
theorem
PRCNativeCostCharacterTraceLiftTarget_of_doubled_trace_coherent_root -
def
PRCNativeCostCharacterFactorizationTarget -
theorem
PRCNativeCostCharacterTraceLiftTarget_of_factorization -
theorem
PRCNativeCostCharacterFactorizationTarget_of_trace_lift -
theorem
PRCNativeCostCharacterFactorizationTarget_of_doubled_trace_coherent_root -
theorem
PRCNativeCostCharacterFactorizationTarget_iff_trace_lift -
def
PRCNativeCostCharacterRigidityTarget -
def
orbitDirection -
def
primeDirection -
def
PRCCharacterPrimeDirectionCalibrated -
def
PRCTwoCalibrationForcesPrimeCalibrationTarget -
def
PRCPrimeCalibrationPropagationTarget -
theorem
onRatioOrbit_congr -
theorem
jcost_eq_forces_same_or_reciprocal -
theorem
primeDirection_toRat_ne_zero -
theorem
primeDirection_toRat -
theorem
twoOrbit_primeOrbit -
def
threeOrbit -
theorem
threeOrbit_toNat -
theorem
threeOrbit_primeOrbit -
theorem
threeOrbit_ne_twoOrbit -
theorem
orbitDirection_toRat -
theorem
primeDirection_not_crossEq_recip -
theorem
orbitDirection_nonunit_not_crossEq_recip -
theorem
orbit_succ_ne_zero -
theorem
orbitDirection_succ_crossEq_add_one -
def
orbitPositionTrace -
theorem
orbitPositionTrace_add_extends_left -
theorem
orbitPositionTrace_add_extends_right -
theorem
orbitPositionTrace_extends_of_toNat_le -
theorem
orbitPositionTrace_comparable -
def
PRCPrimeAxisTraceConnected -
theorem
PRCPrimeAxisTraceConnected_proved -
def
PRCCharacterGlobalCostOrientation -
def
PRCPrimeCalibrationForcesGlobalOrientationTarget -
def
PRCCharacterPrimeOrientationCoherent -
def
twoPrimeDirection -
theorem
twoPrimeDirection_toRat -
def
PRCCharacterTwoPrimeBranchControlsPrimes -
def
PRCCharacterPrimeIdentityIffTwoPrimeIdentity -
def
PRCCharacterPrimeIdentityForcesTwoPrimeIdentity -
def
PRCCharacterTwoPrimeReciprocalExcludesPrimeIdentity -
def
PRCCharacterTwoPrimeReciprocalExcludesPrimeIdentityWitness -
def
PRCCharacterTwoPrimeReciprocalIdentityPrimeMixed -
def
PRCCharacterTwoPrimeReciprocalIdentityNonTwoPrimeMixed -
def
PRCCharacterTwoAdicAxisTwist -
def
PRCTwoAdicAxisTwistRatioCharacter -
def
ratioOrbitOfRat