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Elf32_sym

!elf32_sym->other

Update the |EXLD|::|OTHER| field of a elf32_sym bit structure.

Signature
(!elf32_sym->other other x) → new-x
Arguments: other — Guard (elf_bits8-p other).; x — Guard (elf32_sym-p x).
Returns: new-x — Type (elf32_sym-p new-x).

Definitions and Theorems

Function: !elf32_sym->other

(defun !elf32_sym->other (other x)
 (declare (xargs :guard (and (elf_bits8-p other)
                             (elf32_sym-p x))))
 (mbe
  :logic
  (b* ((other (mbe :logic (elf_bits8-fix other)
                   :exec other))
       (x (elf32_sym-fix x)))
    (part-install other x
                  :width 8
                  :low 104))
  :exec
  (the
    (unsigned-byte 128)
    (logior (the (unsigned-byte 128)
                 (logand (the (unsigned-byte 128) x)
                         (the (signed-byte 113)
                              -5172014448931175958106549077934081)))
            (the (unsigned-byte 112)
                 (ash (the (unsigned-byte 8) other)
                      104))))))

Theorem: elf32_sym-p-of-!elf32_sym->other

(defthm elf32_sym-p-of-!elf32_sym->other
  (b* ((new-x (!elf32_sym->other other x)))
    (elf32_sym-p new-x))
  :rule-classes :rewrite)

Theorem: !elf32_sym->other-of-elf_bits8-fix-other

(defthm !elf32_sym->other-of-elf_bits8-fix-other
  (equal (!elf32_sym->other (elf_bits8-fix other)
                            x)
         (!elf32_sym->other other x)))

Theorem: !elf32_sym->other-elf_bits8-equiv-congruence-on-other

(defthm !elf32_sym->other-elf_bits8-equiv-congruence-on-other
  (implies (elf_bits8-equiv other other-equiv)
           (equal (!elf32_sym->other other x)
                  (!elf32_sym->other other-equiv x)))
  :rule-classes :congruence)

Theorem: !elf32_sym->other-of-elf32_sym-fix-x

(defthm !elf32_sym->other-of-elf32_sym-fix-x
  (equal (!elf32_sym->other other (elf32_sym-fix x))
         (!elf32_sym->other other x)))

Theorem: !elf32_sym->other-elf32_sym-equiv-congruence-on-x

(defthm !elf32_sym->other-elf32_sym-equiv-congruence-on-x
  (implies (elf32_sym-equiv x x-equiv)
           (equal (!elf32_sym->other other x)
                  (!elf32_sym->other other x-equiv)))
  :rule-classes :congruence)

Theorem: !elf32_sym->other-is-elf32_sym

(defthm !elf32_sym->other-is-elf32_sym
  (equal (!elf32_sym->other other x)
         (change-elf32_sym x :other other)))

Theorem: elf32_sym->other-of-!elf32_sym->other

(defthm elf32_sym->other-of-!elf32_sym->other
  (b* ((?new-x (!elf32_sym->other other x)))
    (equal (elf32_sym->other new-x)
           (elf_bits8-fix other))))

Theorem: !elf32_sym->other-equiv-under-mask

(defthm !elf32_sym->other-equiv-under-mask
  (b* ((?new-x (!elf32_sym->other other x)))
    (elf32_sym-equiv-under-mask
         new-x
         x -5172014448931175958106549077934081)))