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Vl-modulelist-bindelim-insttable

Signature

(vl-modulelist-bindelim-insttable x itbl) → itbl

Arguments

x — Guard (vl-modulelist-p x).

itbl — Guard (vl-bindelim-insttable-p itbl).

Returns

itbl — Type (vl-bindelim-insttable-p itbl).

Definitions and Theorems

Function: vl-modulelist-bindelim-insttable

(defun vl-modulelist-bindelim-insttable (x itbl)
  (declare (xargs :guard (and (vl-modulelist-p x)
                              (vl-bindelim-insttable-p itbl))))
  (let ((__function__ 'vl-modulelist-bindelim-insttable))
    (declare (ignorable __function__))
    (b* ((itbl (vl-bindelim-insttable-fix itbl))
         ((when (atom x)) itbl)
         (itbl (vl-module-bindelim-insttable (first x)
                                             itbl)))
      (vl-modulelist-bindelim-insttable (rest x)
                                        itbl))))

Theorem: vl-bindelim-insttable-p-of-vl-modulelist-bindelim-insttable

(defthm vl-bindelim-insttable-p-of-vl-modulelist-bindelim-insttable
  (b* ((itbl (vl-modulelist-bindelim-insttable x itbl)))
    (vl-bindelim-insttable-p itbl))
  :rule-classes :rewrite)

Theorem: vl-modulelist-bindelim-insttable-of-vl-modulelist-fix-x

(defthm vl-modulelist-bindelim-insttable-of-vl-modulelist-fix-x
  (equal (vl-modulelist-bindelim-insttable (vl-modulelist-fix x)
                                           itbl)
         (vl-modulelist-bindelim-insttable x itbl)))

Theorem: vl-modulelist-bindelim-insttable-vl-modulelist-equiv-congruence-on-x

(defthm
 vl-modulelist-bindelim-insttable-vl-modulelist-equiv-congruence-on-x
 (implies (vl-modulelist-equiv x x-equiv)
          (equal (vl-modulelist-bindelim-insttable x itbl)
                 (vl-modulelist-bindelim-insttable x-equiv itbl)))
 :rule-classes :congruence)

Theorem: vl-modulelist-bindelim-insttable-of-vl-bindelim-insttable-fix-itbl

(defthm
 vl-modulelist-bindelim-insttable-of-vl-bindelim-insttable-fix-itbl
 (equal (vl-modulelist-bindelim-insttable
             x (vl-bindelim-insttable-fix itbl))
        (vl-modulelist-bindelim-insttable x itbl)))

Theorem: vl-modulelist-bindelim-insttable-vl-bindelim-insttable-equiv-congruence-on-itbl

(defthm
 vl-modulelist-bindelim-insttable-vl-bindelim-insttable-equiv-congruence-on-itbl
 (implies (vl-bindelim-insttable-equiv itbl itbl-equiv)
          (equal (vl-modulelist-bindelim-insttable x itbl)
                 (vl-modulelist-bindelim-insttable x itbl-equiv)))
 :rule-classes :congruence)