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• Dec-integer-literal

Dec-integer-literal->digits/uscores

Get the digits/uscores field from a dec-integer-literal.

Signature

(dec-integer-literal->digits/uscores x) → digits/uscores

Arguments

x — Guard (dec-integer-literalp x).

Returns

digits/uscores — Type (decdig/uscore-listp digits/uscores).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: dec-integer-literal->digits/uscores$inline

(defun dec-integer-literal->digits/uscores$inline (x)
 (declare (xargs :guard (dec-integer-literalp x)))
 (declare (xargs :guard t))
 (let ((__function__ 'dec-integer-literal->digits/uscores))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b*
    ((x (and t x))
     (digits/uscores
          (decdig/uscore-list-fix (std::da-nth 0 (cdr x))))
     (suffix?
        (optional-integer-type-suffix-fix (std::da-nth 1 (cdr x)))))
    (if (decdig/uscore-list-wfp digits/uscores)
        digits/uscores
      (list (decdig/uscore-digit (char-code #\0)))))
   :exec (std::da-nth 0 (cdr x)))))

Theorem: decdig/uscore-listp-of-dec-integer-literal->digits/uscores

(defthm decdig/uscore-listp-of-dec-integer-literal->digits/uscores
  (b*
   ((digits/uscores (dec-integer-literal->digits/uscores$inline x)))
   (decdig/uscore-listp digits/uscores))
  :rule-classes :rewrite)

Theorem: dec-integer-literal->digits/uscores$inline-of-dec-integer-literal-fix-x

(defthm
 dec-integer-literal->digits/uscores$inline-of-dec-integer-literal-fix-x
 (equal (dec-integer-literal->digits/uscores$inline
             (dec-integer-literal-fix x))
        (dec-integer-literal->digits/uscores$inline x)))

Theorem: dec-integer-literal->digits/uscores$inline-dec-integer-literal-equiv-congruence-on-x

(defthm
 dec-integer-literal->digits/uscores$inline-dec-integer-literal-equiv-congruence-on-x
 (implies
      (dec-integer-literal-equiv x x-equiv)
      (equal (dec-integer-literal->digits/uscores$inline x)
             (dec-integer-literal->digits/uscores$inline x-equiv)))
 :rule-classes :congruence)