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State32

State32->mem

Get the mem field from a state32.

Signature
(state32->mem x) → mem
Arguments: x — Guard (state32p x).
Returns: mem — Type (memory32p mem).

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

Definitions and Theorems

Function: state32->mem$inline

(defun state32->mem$inline (x)
  (declare (xargs :guard (state32p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'state32->mem))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (memory32-fix (std::da-nth 2 (cdr x))))
         :exec (std::da-nth 2 (cdr x)))))

Theorem: memory32p-of-state32->mem

(defthm memory32p-of-state32->mem
  (b* ((mem (state32->mem$inline x)))
    (memory32p mem))
  :rule-classes :rewrite)

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

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

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

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