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Representation-of-integer-operations

Bitior-uint-uchar

Bitwise inclusive disjunction of a value of type unsigned int and a value of type unsigned char [C:6.5.12].

Definitions and Theorems

Function: bitior-uint-uchar

(defun bitior-uint-uchar (x y)
  (declare (xargs :guard (and (uintp x) (ucharp y))))
  (bitior-uint-uint x (uint-from-uchar y)))

Theorem: uintp-of-bitior-uint-uchar

(defthm uintp-of-bitior-uint-uchar
  (uintp (bitior-uint-uchar x y)))

Theorem: bitior-uint-uchar-of-uint-fix-x

(defthm bitior-uint-uchar-of-uint-fix-x
  (equal (bitior-uint-uchar (uint-fix x) y)
         (bitior-uint-uchar x y)))

Theorem: bitior-uint-uchar-uint-equiv-congruence-on-x

(defthm bitior-uint-uchar-uint-equiv-congruence-on-x
  (implies (uint-equiv x x-equiv)
           (equal (bitior-uint-uchar x y)
                  (bitior-uint-uchar x-equiv y)))
  :rule-classes :congruence)

Theorem: bitior-uint-uchar-of-uchar-fix-y

(defthm bitior-uint-uchar-of-uchar-fix-y
  (equal (bitior-uint-uchar x (uchar-fix y))
         (bitior-uint-uchar x y)))

Theorem: bitior-uint-uchar-uchar-equiv-congruence-on-y

(defthm bitior-uint-uchar-uchar-equiv-congruence-on-y
  (implies (uchar-equiv y y-equiv)
           (equal (bitior-uint-uchar x y)
                  (bitior-uint-uchar x y-equiv)))
  :rule-classes :congruence)