IUT Theory Type Checker & Automated Proof Audit Simulator

Proof Structure Controls

Drag nodes across universe boundaries to test univalent type maps & log-shell embeddings.

Type & Node Inspector Node Selected

Node Identifier

theta_link

Type Signature

θ-Link : Univalent Map (U_1 ⤳ U_2)

Node Local Ambiguity Bound (q-vol) 1.22

Type Coercion Rules

Strict Log-Kummer Coercion

Multiradial Rigidity Check

Ind-Structure Universe Shift

Type Leap & Contradiction Inspector

No structural leaps or illegal coercions found.

Ambiguity & Volume Metrics

Total Ambiguity

1.220

Max Upper Bound

2.100

Log-Vol Exp (Δ)

+0.42

Lean Automated Proof CI/CD Audit Trace

Step 4/4 Complete

[00:00.01]INIT System initialized with Cytoscape proof graph pipeline.

[00:00.04]TYPECHECK theta_link (θ-Link) ⤳ log_shell (Log-Kummer Coercion): VALID STRICT BOUND (1.220)

[00:00.08]RIGIDITY Evaluating multiradial representation invariants across U_1/U_2... PASSED

[00:00.12]LEAN_PROOF `theorem theta_link_bounded : LogVolumeExp <= TotalAmbiguity := by decidable_proof` PROVED