		Search-engine friendly clone of the ACL2 documentation.

Rflagsbits

!rflagsbits->intf

Update the |X86ISA|::|INTF| field of a rflagsbits bit structure.

Signature
(!rflagsbits->intf intf x) → new-x
Arguments: intf — Guard (bitp intf).; x — Guard (rflagsbits-p x).
Returns: new-x — Type (rflagsbits-p new-x).

Definitions and Theorems

Function: !rflagsbits->intf$inline

(defun !rflagsbits->intf$inline (intf x)
  (declare (xargs :guard (and (bitp intf) (rflagsbits-p x))))
  (mbe :logic
       (b* ((intf (mbe :logic (bfix intf) :exec intf))
            (x (rflagsbits-fix x)))
         (part-install intf x :width 1 :low 9))
       :exec (the (unsigned-byte 32)
                  (logior (the (unsigned-byte 32)
                               (logand (the (unsigned-byte 32) x)
                                       (the (signed-byte 11) -513)))
                          (the (unsigned-byte 10)
                               (ash (the (unsigned-byte 1) intf)
                                    9))))))

Theorem: rflagsbits-p-of-!rflagsbits->intf

(defthm rflagsbits-p-of-!rflagsbits->intf
  (b* ((new-x (!rflagsbits->intf$inline intf x)))
    (rflagsbits-p new-x))
  :rule-classes :rewrite)

Theorem: !rflagsbits->intf$inline-of-bfix-intf

(defthm !rflagsbits->intf$inline-of-bfix-intf
  (equal (!rflagsbits->intf$inline (bfix intf) x)
         (!rflagsbits->intf$inline intf x)))

Theorem: !rflagsbits->intf$inline-bit-equiv-congruence-on-intf

(defthm !rflagsbits->intf$inline-bit-equiv-congruence-on-intf
  (implies (bit-equiv intf intf-equiv)
           (equal (!rflagsbits->intf$inline intf x)
                  (!rflagsbits->intf$inline intf-equiv x)))
  :rule-classes :congruence)

Theorem: !rflagsbits->intf$inline-of-rflagsbits-fix-x

(defthm !rflagsbits->intf$inline-of-rflagsbits-fix-x
  (equal (!rflagsbits->intf$inline intf (rflagsbits-fix x))
         (!rflagsbits->intf$inline intf x)))

Theorem: !rflagsbits->intf$inline-rflagsbits-equiv-congruence-on-x

(defthm !rflagsbits->intf$inline-rflagsbits-equiv-congruence-on-x
  (implies (rflagsbits-equiv x x-equiv)
           (equal (!rflagsbits->intf$inline intf x)
                  (!rflagsbits->intf$inline intf x-equiv)))
  :rule-classes :congruence)

Theorem: !rflagsbits->intf-is-rflagsbits

(defthm !rflagsbits->intf-is-rflagsbits
  (equal (!rflagsbits->intf intf x)
         (change-rflagsbits x :intf intf)))

Theorem: rflagsbits->intf-of-!rflagsbits->intf

(defthm rflagsbits->intf-of-!rflagsbits->intf
  (b* ((?new-x (!rflagsbits->intf$inline intf x)))
    (equal (rflagsbits->intf new-x)
           (bfix intf))))

Theorem: !rflagsbits->intf-equiv-under-mask

(defthm !rflagsbits->intf-equiv-under-mask
  (b* ((?new-x (!rflagsbits->intf$inline intf x)))
    (rflagsbits-equiv-under-mask new-x x -513)))