feat: add proofs about packing and retaining the 'toExtRat' value of packing.#86
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feat: add proofs about packing and retaining the 'toExtRat' value of packing.#86
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We're refactoring the proof to trunctae exponent first, followed by performing the other manipulations. We will use this so that we can just pack the result and claim that that's going to be the number we represent!
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This PR does the end-to-end job of connecting the theorem statement to multiplication. In the next PR, we will re-sketch the high level strategy of the rounder, which has now been sufficiently broken down so we have 1:1 correspondence with SMT-LIB definitions, and subsequent PRs will establish this 1:1 proof. |
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This will let us show that that we meet the spec upto 'toExtRat' equality, which is what we need for the final step of rounding: That the packed values agree with each other.