[Circuit monad] Completeness composition #30
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mitschabaude
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Dec 16, 2024
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| -- simplify `Add8Full.assumptions` and prove them easily by using our own assumptions | ||
| dsimp [Add8Full.circuit, Add8Full.assumptions] | ||
| show x.val < 256 ∧ y.val < 256 ∧ (0 = 0 ∨ 0 = 1) | ||
| have ⟨ asx, asy ⟩ := as | ||
| exact ⟨ asx, asy, by tauto ⟩ |
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this is the completeness proof of add8_wrapped after mechanical simplifications
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soundnessandcompletenessstatement.completenesswhen proving completeness of a parent circuitadd8_wrappedis now trivial