feat(CombinatoryLogic): SKI terms for Nat.sqrt, Nat.pair, and Nat.unpair#445
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jessealama wants to merge 3 commits intoleanprover:mainfrom
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feat(CombinatoryLogic): SKI terms for Nat.sqrt, Nat.pair, and Nat.unpair#445jessealama wants to merge 3 commits intoleanprover:mainfrom
jessealama wants to merge 3 commits intoleanprover:mainfrom
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Implement SKI combinator terms for three Mathlib numeric operations and prove they compute the correct values on Church numerals: - Sqrt / sqrt_correct: integer square root via root-finding - NatPair / natPair_correct: Nat.pair via case split on a < b - NatUnpairLeft / natUnpairLeft_correct: left projection of Nat.unpair - NatUnpairRight / natUnpairRight_correct: right projection of Nat.unpair
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Implement SKI combinator terms for Nat.sqrt, Nat.pair, and Nat.unpair with correctness proofs against Mathlib definitions.
Split out from #403 to make review easier.