		Search-engine friendly clone of the ACL2 documentation.

State32

State32->pc

Get the pc field from a state32.

Signature
(state32->pc x) → pc
Arguments: x — Guard (state32p x).
Returns: pc — Type (ubyte32p pc).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: state32->pc$inline

(defun state32->pc$inline (x)
  (declare (xargs :guard (state32p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'state32->pc))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (ubyte32-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: ubyte32p-of-state32->pc

(defthm ubyte32p-of-state32->pc
  (b* ((pc (state32->pc$inline x)))
    (ubyte32p pc))
  :rule-classes :rewrite)

Theorem: state32->pc$inline-of-state32-fix-x

(defthm state32->pc$inline-of-state32-fix-x
  (equal (state32->pc$inline (state32-fix x))
         (state32->pc$inline x)))

Theorem: state32->pc$inline-state32-equiv-congruence-on-x

(defthm state32->pc$inline-state32-equiv-congruence-on-x
  (implies (state32-equiv x x-equiv)
           (equal (state32->pc$inline x)
                  (state32->pc$inline x-equiv)))
  :rule-classes :congruence)