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Lucid

Vl-evatom-lucidcheck

Signature
(vl-evatom-lucidcheck x ss st ctx) → new-st
Arguments: x — Guard (vl-evatom-p x).; ss — Guard (vl-scopestack-p ss).; st — Guard (vl-lucidstate-p st).; ctx — Guard (vl-lucidctx-p ctx).
Returns: new-st — Type (vl-lucidstate-p new-st).

Definitions and Theorems

Function: vl-evatom-lucidcheck

(defun vl-evatom-lucidcheck (x ss st ctx)
  (declare (xargs :guard (and (vl-evatom-p x)
                              (vl-scopestack-p ss)
                              (vl-lucidstate-p st)
                              (vl-lucidctx-p ctx))))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-evatom-lucidcheck))
    (declare (ignorable __function__))
    (b* ((x (vl-evatom-fix x))
         (ss (vl-scopestack-fix ss))
         (st (vl-lucidstate-fix st)))
      (b* (((vl-evatom x)))
        (vl-rhsexpr-lucidcheck x.expr ss st ctx)))))

Theorem: vl-lucidstate-p-of-vl-evatom-lucidcheck

(defthm vl-lucidstate-p-of-vl-evatom-lucidcheck
  (b* ((new-st (vl-evatom-lucidcheck x ss st ctx)))
    (vl-lucidstate-p new-st))
  :rule-classes :rewrite)

Theorem: vl-evatom-lucidcheck-of-vl-evatom-fix-x

(defthm vl-evatom-lucidcheck-of-vl-evatom-fix-x
  (equal (vl-evatom-lucidcheck (vl-evatom-fix x)
                               ss st ctx)
         (vl-evatom-lucidcheck x ss st ctx)))

Theorem: vl-evatom-lucidcheck-vl-evatom-equiv-congruence-on-x

(defthm vl-evatom-lucidcheck-vl-evatom-equiv-congruence-on-x
  (implies (vl-evatom-equiv x x-equiv)
           (equal (vl-evatom-lucidcheck x ss st ctx)
                  (vl-evatom-lucidcheck x-equiv ss st ctx)))
  :rule-classes :congruence)

Theorem: vl-evatom-lucidcheck-of-vl-scopestack-fix-ss

(defthm vl-evatom-lucidcheck-of-vl-scopestack-fix-ss
  (equal (vl-evatom-lucidcheck x (vl-scopestack-fix ss)
                               st ctx)
         (vl-evatom-lucidcheck x ss st ctx)))

Theorem: vl-evatom-lucidcheck-vl-scopestack-equiv-congruence-on-ss

(defthm vl-evatom-lucidcheck-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-evatom-lucidcheck x ss st ctx)
                  (vl-evatom-lucidcheck x ss-equiv st ctx)))
  :rule-classes :congruence)

Theorem: vl-evatom-lucidcheck-of-vl-lucidstate-fix-st

(defthm vl-evatom-lucidcheck-of-vl-lucidstate-fix-st
  (equal (vl-evatom-lucidcheck x ss (vl-lucidstate-fix st)
                               ctx)
         (vl-evatom-lucidcheck x ss st ctx)))

Theorem: vl-evatom-lucidcheck-vl-lucidstate-equiv-congruence-on-st

(defthm vl-evatom-lucidcheck-vl-lucidstate-equiv-congruence-on-st
  (implies (vl-lucidstate-equiv st st-equiv)
           (equal (vl-evatom-lucidcheck x ss st ctx)
                  (vl-evatom-lucidcheck x ss st-equiv ctx)))
  :rule-classes :congruence)

Theorem: vl-evatom-lucidcheck-of-vl-lucidctx-fix-ctx

(defthm vl-evatom-lucidcheck-of-vl-lucidctx-fix-ctx
  (equal (vl-evatom-lucidcheck x ss st (vl-lucidctx-fix ctx))
         (vl-evatom-lucidcheck x ss st ctx)))

Theorem: vl-evatom-lucidcheck-vl-lucidctx-equiv-congruence-on-ctx

(defthm vl-evatom-lucidcheck-vl-lucidctx-equiv-congruence-on-ctx
  (implies (vl-lucidctx-equiv ctx ctx-equiv)
           (equal (vl-evatom-lucidcheck x ss st ctx)
                  (vl-evatom-lucidcheck x ss st ctx-equiv)))
  :rule-classes :congruence)