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Sdm-instruction-table-entry

Sdm-instruction-table-entry->subsecs

Get the subsecs field from a sdm-instruction-table-entry.

Signature
(sdm-instruction-table-entry->subsecs x) → subsecs
Arguments: x — Guard (sdm-instruction-table-entry-p x).
Returns: subsecs — Type (sdm-instruction-table-p subsecs).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: sdm-instruction-table-entry->subsecs$inline

(defun sdm-instruction-table-entry->subsecs$inline (x)
  (declare (xargs :guard (sdm-instruction-table-entry-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'sdm-instruction-table-entry->subsecs))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (sdm-instruction-table-fix (cdr (std::da-nth 4 x))))
         :exec (cdr (std::da-nth 4 x)))))

Theorem: sdm-instruction-table-p-of-sdm-instruction-table-entry->subsecs

(defthm
    sdm-instruction-table-p-of-sdm-instruction-table-entry->subsecs
  (b* ((subsecs (sdm-instruction-table-entry->subsecs$inline x)))
    (sdm-instruction-table-p subsecs))
  :rule-classes :rewrite)

Theorem: sdm-instruction-table-entry->subsecs$inline-of-sdm-instruction-table-entry-fix-x

(defthm
 sdm-instruction-table-entry->subsecs$inline-of-sdm-instruction-table-entry-fix-x
 (equal (sdm-instruction-table-entry->subsecs$inline
             (sdm-instruction-table-entry-fix x))
        (sdm-instruction-table-entry->subsecs$inline x)))

Theorem: sdm-instruction-table-entry->subsecs$inline-sdm-instruction-table-entry-equiv-congruence-on-x

(defthm
 sdm-instruction-table-entry->subsecs$inline-sdm-instruction-table-entry-equiv-congruence-on-x
 (implies
      (sdm-instruction-table-entry-equiv x x-equiv)
      (equal (sdm-instruction-table-entry->subsecs$inline x)
             (sdm-instruction-table-entry->subsecs$inline x-equiv)))
 :rule-classes :congruence)