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Elf64_sym

!elf64_sym->other

Update the |EXLD|::|OTHER| field of a elf64_sym bit structure.

Signature
(!elf64_sym->other other x) → new-x
Arguments: other — Guard (elf_bits8-p other).; x — Guard (elf64_sym-p x).
Returns: new-x — Type (elf64_sym-p new-x).

Definitions and Theorems

Function: !elf64_sym->other

(defun !elf64_sym->other (other x)
  (declare (xargs :guard (and (elf_bits8-p other)
                              (elf64_sym-p x))))
  (mbe :logic
       (b* ((other (mbe :logic (elf_bits8-fix other)
                        :exec other))
            (x (elf64_sym-fix x)))
         (part-install other x :width 8 :low 40))
       :exec (the (unsigned-byte 192)
                  (logior (the (unsigned-byte 192)
                               (logand (the (unsigned-byte 192) x)
                                       (the (signed-byte 49)
                                            -280375465082881)))
                          (the (unsigned-byte 48)
                               (ash (the (unsigned-byte 8) other)
                                    40))))))

Theorem: elf64_sym-p-of-!elf64_sym->other

(defthm elf64_sym-p-of-!elf64_sym->other
  (b* ((new-x (!elf64_sym->other other x)))
    (elf64_sym-p new-x))
  :rule-classes :rewrite)

Theorem: !elf64_sym->other-of-elf_bits8-fix-other

(defthm !elf64_sym->other-of-elf_bits8-fix-other
  (equal (!elf64_sym->other (elf_bits8-fix other)
                            x)
         (!elf64_sym->other other x)))

Theorem: !elf64_sym->other-elf_bits8-equiv-congruence-on-other

(defthm !elf64_sym->other-elf_bits8-equiv-congruence-on-other
  (implies (elf_bits8-equiv other other-equiv)
           (equal (!elf64_sym->other other x)
                  (!elf64_sym->other other-equiv x)))
  :rule-classes :congruence)

Theorem: !elf64_sym->other-of-elf64_sym-fix-x

(defthm !elf64_sym->other-of-elf64_sym-fix-x
  (equal (!elf64_sym->other other (elf64_sym-fix x))
         (!elf64_sym->other other x)))

Theorem: !elf64_sym->other-elf64_sym-equiv-congruence-on-x

(defthm !elf64_sym->other-elf64_sym-equiv-congruence-on-x
  (implies (elf64_sym-equiv x x-equiv)
           (equal (!elf64_sym->other other x)
                  (!elf64_sym->other other x-equiv)))
  :rule-classes :congruence)

Theorem: !elf64_sym->other-is-elf64_sym

(defthm !elf64_sym->other-is-elf64_sym
  (equal (!elf64_sym->other other x)
         (change-elf64_sym x :other other)))

Theorem: elf64_sym->other-of-!elf64_sym->other

(defthm elf64_sym->other-of-!elf64_sym->other
  (b* ((?new-x (!elf64_sym->other other x)))
    (equal (elf64_sym->other new-x)
           (elf_bits8-fix other))))

Theorem: !elf64_sym->other-equiv-under-mask

(defthm !elf64_sym->other-equiv-under-mask
  (b* ((?new-x (!elf64_sym->other other x)))
    (elf64_sym-equiv-under-mask new-x x -280375465082881)))