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All Lean 4 Declarations
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inductive
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noncomputable def
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CES Potential
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proved
sorry
axiom
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350 results
(filtered from 2160)
Complementarity Network
structure
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:49
Uniform Network
def
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:59
Laplacian QF
def
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:75
Network Hessian QF
def
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:81
Vertex Degree
def
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:85
Mean Complementarity
def
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:89
Spectral Gap
def
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:104
Fiedler Vector
noncomputable def
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:118
Laplacian QF Nonneg
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:133
Laplacian QF Const
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:145
Uniform Laplacian QF Eq
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:155
Uniform Network Hessian Eq CES Hessian
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:210
Network Hessian QF Neg Semidefinite
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:223
Stronger Complementarity More Concave
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:241
Uniform Network Mean Complementarity
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:268
Uniform Laplacian QF On Perp
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:296
Uniform Network Degree
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:307
Uniform Spectral Gap
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:328
Uniform Fiedler Degenerate
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:374
Adding Link Increases Gap
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:398
Disconnected Zero Curvature
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:446
Laplacian QF Zero Iff Block Constant
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:584
Network Hessian Spectral Gap Bound
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:635
Network Scaling
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:722
Network Scaling Normalized
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:729
Network Scaling Linear
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:735
Platform Value
def
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:746
Cross Externality Positive
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:756
Below Cost Pricing
theorem
trivial
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:787
Anti Network Reversal
theorem
trivial
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:799
Network Curvature Conservation Ineq
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:822
Network Log Premium
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:838
Premium Over Linear Factor
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:847
Premium Factor Eq K Scaled
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:851
Diversity Premium Proportional To K Log J
theorem
proved
Hierarchy
thesis/CESProofs/CurvatureRoles/NetworkCES.lean
:865
NGM Characteristic Polynomial, N=2
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:33
Activation Two Level
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:42
NGM Characteristic Polynomial, general N
theorem
trivial
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:67
Activation Threshold
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:85
Reduced Dynamics
theorem
trivial
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:120
Cross Level Amplification
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:139
Weakest Link Bottleneck
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:167
Sensitivity Ratio Bottleneck
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:172
Activation Threshold With Weights
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:192
Concentration Bottleneck
theorem
trivial
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:205
IRS Modified Activation
theorem
trivial
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:213
Cross Level Amplification With Weights
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:219
Weakest Link With Weights
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/Activation.lean
:228
Convergence Speed Increasing Sigma
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/DampingCancellation.lean
:29
Equilibrium Output Decreasing Sigma
theorem
proved
Hierarchy
thesis/CESProofs/Hierarchy/DampingCancellation.lean
:42
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