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Elf32_sym

!elf32_sym->size

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

Signature
(!elf32_sym->size size x) → new-x
Arguments: size — Guard (elf_bits32-p size).; x — Guard (elf32_sym-p x).
Returns: new-x — Type (elf32_sym-p new-x).

Definitions and Theorems

Function: !elf32_sym->size

(defun !elf32_sym->size (size x)
 (declare (xargs :guard (and (elf_bits32-p size)
                             (elf32_sym-p x))))
 (mbe
    :logic
    (b* ((size (mbe :logic (elf_bits32-fix size)
                    :exec size))
         (x (elf32_sym-fix x)))
      (part-install size x :width 32 :low 64))
    :exec
    (the (unsigned-byte 128)
         (logior (the (unsigned-byte 128)
                      (logand (the (unsigned-byte 128) x)
                              (the (signed-byte 97)
                                   -79228162495817593519834398721)))
                 (the (unsigned-byte 96)
                      (ash (the (unsigned-byte 32) size)
                           64))))))

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

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

Theorem: !elf32_sym->size-of-elf_bits32-fix-size

(defthm !elf32_sym->size-of-elf_bits32-fix-size
  (equal (!elf32_sym->size (elf_bits32-fix size)
                           x)
         (!elf32_sym->size size x)))

Theorem: !elf32_sym->size-elf_bits32-equiv-congruence-on-size

(defthm !elf32_sym->size-elf_bits32-equiv-congruence-on-size
  (implies (elf_bits32-equiv size size-equiv)
           (equal (!elf32_sym->size size x)
                  (!elf32_sym->size size-equiv x)))
  :rule-classes :congruence)

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

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

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

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

Theorem: !elf32_sym->size-is-elf32_sym

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

Theorem: elf32_sym->size-of-!elf32_sym->size

(defthm elf32_sym->size-of-!elf32_sym->size
  (b* ((?new-x (!elf32_sym->size size x)))
    (equal (elf32_sym->size new-x)
           (elf_bits32-fix size))))

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

(defthm !elf32_sym->size-equiv-under-mask
  (b* ((?new-x (!elf32_sym->size size x)))
    (elf32_sym-equiv-under-mask new-x
                                x -79228162495817593519834398721)))