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Elf32_sym

!elf32_sym->value

Update the |ACL2|::|VALUE| field of a elf32_sym bit structure.

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

Definitions and Theorems

Function: !elf32_sym->value

(defun !elf32_sym->value (value x)
  (declare (xargs :guard (and (elf_bits32-p value)
                              (elf32_sym-p x))))
  (mbe :logic
       (b* ((value (mbe :logic (elf_bits32-fix value)
                        :exec value))
            (x (elf32_sym-fix x)))
         (part-install value x
                       :width 32
                       :low 32))
       :exec (the (unsigned-byte 128)
                  (logior (the (unsigned-byte 128)
                               (logand (the (unsigned-byte 128) x)
                                       (the (signed-byte 65)
                                            -18446744069414584321)))
                          (the (unsigned-byte 64)
                               (ash (the (unsigned-byte 32) value)
                                    32))))))

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

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

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

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

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

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

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

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

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

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

Theorem: !elf32_sym->value-is-elf32_sym

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

Theorem: elf32_sym->value-of-!elf32_sym->value

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

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

(defthm !elf32_sym->value-equiv-under-mask
  (b* ((?new-x (!elf32_sym->value value x)))
    (elf32_sym-equiv-under-mask new-x x -18446744069414584321)))