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• Basic-bind-elim

Vl-interfacelist-bindelim

Signature

(vl-interfacelist-bindelim x ss itbl delta) → (mv new-x delta)

Arguments

x — Guard (vl-interfacelist-p x).

ss — Guard (vl-scopestack-p ss).

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

delta — Guard (vl-binddelta-p delta).

Returns

new-x — Type (vl-interfacelist-p new-x).

delta — Type (vl-binddelta-p delta).

Definitions and Theorems

Function: vl-interfacelist-bindelim

(defun vl-interfacelist-bindelim (x ss itbl delta)
  (declare (xargs :guard (and (vl-interfacelist-p x)
                              (vl-scopestack-p ss)
                              (vl-bindelim-insttable-p itbl)
                              (vl-binddelta-p delta))))
  (let ((__function__ 'vl-interfacelist-bindelim))
    (declare (ignorable __function__))
    (b* (((when (atom x))
          (mv nil (vl-binddelta-fix delta)))
         ((mv x1 delta)
          (vl-interface-bindelim (car x)
                                 ss itbl delta))
         ((mv xrest delta)
          (vl-interfacelist-bindelim (cdr x)
                                     ss itbl delta)))
      (mv (cons x1 xrest) delta))))

Theorem: vl-interfacelist-p-of-vl-interfacelist-bindelim.new-x

(defthm vl-interfacelist-p-of-vl-interfacelist-bindelim.new-x
  (b* (((mv ?new-x ?delta)
        (vl-interfacelist-bindelim x ss itbl delta)))
    (vl-interfacelist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-binddelta-p-of-vl-interfacelist-bindelim.delta

(defthm vl-binddelta-p-of-vl-interfacelist-bindelim.delta
  (b* (((mv ?new-x ?delta)
        (vl-interfacelist-bindelim x ss itbl delta)))
    (vl-binddelta-p delta))
  :rule-classes :rewrite)

Theorem: vl-interfacelist-bindelim-of-vl-interfacelist-fix-x

(defthm vl-interfacelist-bindelim-of-vl-interfacelist-fix-x
  (equal (vl-interfacelist-bindelim (vl-interfacelist-fix x)
                                    ss itbl delta)
         (vl-interfacelist-bindelim x ss itbl delta)))

Theorem: vl-interfacelist-bindelim-vl-interfacelist-equiv-congruence-on-x

(defthm
   vl-interfacelist-bindelim-vl-interfacelist-equiv-congruence-on-x
 (implies (vl-interfacelist-equiv x x-equiv)
          (equal (vl-interfacelist-bindelim x ss itbl delta)
                 (vl-interfacelist-bindelim x-equiv ss itbl delta)))
 :rule-classes :congruence)

Theorem: vl-interfacelist-bindelim-of-vl-scopestack-fix-ss

(defthm vl-interfacelist-bindelim-of-vl-scopestack-fix-ss
  (equal (vl-interfacelist-bindelim x (vl-scopestack-fix ss)
                                    itbl delta)
         (vl-interfacelist-bindelim x ss itbl delta)))

Theorem: vl-interfacelist-bindelim-vl-scopestack-equiv-congruence-on-ss

(defthm
     vl-interfacelist-bindelim-vl-scopestack-equiv-congruence-on-ss
 (implies (vl-scopestack-equiv ss ss-equiv)
          (equal (vl-interfacelist-bindelim x ss itbl delta)
                 (vl-interfacelist-bindelim x ss-equiv itbl delta)))
 :rule-classes :congruence)

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

(defthm vl-interfacelist-bindelim-of-vl-bindelim-insttable-fix-itbl
 (equal
    (vl-interfacelist-bindelim x ss (vl-bindelim-insttable-fix itbl)
                               delta)
    (vl-interfacelist-bindelim x ss itbl delta)))

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

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

Theorem: vl-interfacelist-bindelim-of-vl-binddelta-fix-delta

(defthm vl-interfacelist-bindelim-of-vl-binddelta-fix-delta
 (equal
      (vl-interfacelist-bindelim x ss itbl (vl-binddelta-fix delta))
      (vl-interfacelist-bindelim x ss itbl delta)))

Theorem: vl-interfacelist-bindelim-vl-binddelta-equiv-congruence-on-delta

(defthm
   vl-interfacelist-bindelim-vl-binddelta-equiv-congruence-on-delta
 (implies (vl-binddelta-equiv delta delta-equiv)
          (equal (vl-interfacelist-bindelim x ss itbl delta)
                 (vl-interfacelist-bindelim x ss itbl delta-equiv)))
 :rule-classes :congruence)