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Type the selected ordinary BIT backend for conditional finite reseeding - #6103
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PR5955 showed that six finite ordinary levels numerically reach PR5708's existing endpoint from the selected backend, but left the PR4814 seed-interface reading open. This package supplies a source-bound clause table and a conditional substitution lemma for the actual selected completed ordinary backend, preserving arbitrary-width endpoints, complete spectators, returned borrowed ROW stock, weighted-leaf decomposition and fixed-before-input thresholds.
The final merged PR4814 proof at
f56ae4533a7d97d782a2c596a33fe844cd051747is byte-identical to the older709fcb31snapshot. The selected PR6030 source manifest binds the applicable notes and admission reviews, while its CLAIM supplies the distinct ordinary seed.0034363538396. The proof separates external fixed-radix-to-binary two-chunk padding below four from the backend's fixed internal conversion constant. No intervening G20 exponent is required as the starting seed under the stated completed-interface and framework premises.Validation: Python 3.12 registered normal/optimized source bindings and six strict separators; rejected equal-seed/C1 parameter control; padding controls; committed-byte/source-history/mode checks; official export/input check; Git-free normal/optimized replay. These checks do not machine-prove the semantic interface table.
No new bound or supplier admission is claimed. A new reseeded admission receipt must still regenerate backend-dependent fees, stock and thresholds and bind the remaining raw/native/framework evidence. The selected frontier and all predecessor packages are unchanged.
Credit: Matarener (#5955) for the reseed question and arithmetic, Ali Romman for PR4814/G20 sources, rohanarun for finite acyclic bootstrapping (#185/#199/#204), and the retained selected-framework contributors. Prepared by JoyboyBrian with substantial OpenAI Codex assistance.