Source/Packages

Model.Word64

packages/foundation/standard/src/Model/Word64.alpha

798 lines53 declarations27.4 KiBSHA-256 e976f120a70c

def · lines 457–479

modelWord64AddChecked

Full file
457def modelWord64AddChecked =
458  (lambda unrestricted left : (family ModelWord64) .
459    (lambda unrestricted right : (family ModelWord64) .
460      (eliminate
461        ModelWord64AddResult
462        (lambda unrestricted result : (family ModelWord64AddResult) .
463          (family ModelWord64CheckedResult))
464        (modelWord64AddWithCarry left right)
465        (branch
466          ModelWord64AddResultValue
467          value
468          carry
469          .
470          (nat-eliminate
471            (lambda unrestricted current : Nat . (family ModelWord64CheckedResult))
472            (constructor ModelWord64CheckedResult ModelWord64CheckedSucceeded value)
473            (lambda unrestricted predecessor : Nat .
474              (lambda unrestricted induction : (family ModelWord64CheckedResult) .
475                (constructor
476                  ModelWord64CheckedResult
477                  ModelWord64CheckedFailed
478                  (constructor ModelWord64ArithmeticErrorCode ModelWord64AdditionOverflow))))
479            carry)))))

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