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Immdeps-main

Vl-maybe-gatedelay-immdeps

Signature
(vl-maybe-gatedelay-immdeps x ans &key (ss 'ss) (ctx 'ctx)) → ans1
Arguments: x — Guard (vl-maybe-gatedelay-p x).; ans — Guard (vl-immdeps-p ans).; ss — Guard (vl-scopestack-p ss).; ctx — Guard (any-p ctx).
Returns: ans1 — Type (vl-immdeps-p ans1).

Definitions and Theorems

Function: vl-maybe-gatedelay-immdeps-fn

(defun vl-maybe-gatedelay-immdeps-fn (x ans ss ctx)
  (declare (xargs :guard (and (vl-maybe-gatedelay-p x)
                              (vl-immdeps-p ans)
                              (vl-scopestack-p ss)
                              (any-p ctx))))
  (let ((__function__ 'vl-maybe-gatedelay-immdeps))
    (declare (ignorable __function__))
    (vl-maybe-gatedelay-case
         x :none
         (b* ((ans (vl-immdeps-fix ans))) ans)
         :some
         (b* ((ans (vl-gatedelay-immdeps-fn x.val ans ss ctx)))
           ans))))

Theorem: vl-immdeps-p-of-vl-maybe-gatedelay-immdeps

(defthm vl-immdeps-p-of-vl-maybe-gatedelay-immdeps
  (b* ((ans1 (vl-maybe-gatedelay-immdeps-fn x ans ss ctx)))
    (vl-immdeps-p ans1))
  :rule-classes :rewrite)

Theorem: vl-maybe-gatedelay-immdeps-fn-of-vl-maybe-gatedelay-fix-x

(defthm vl-maybe-gatedelay-immdeps-fn-of-vl-maybe-gatedelay-fix-x
  (equal (vl-maybe-gatedelay-immdeps-fn (vl-maybe-gatedelay-fix x)
                                        ans ss ctx)
         (vl-maybe-gatedelay-immdeps-fn x ans ss ctx)))

Theorem: vl-maybe-gatedelay-immdeps-fn-vl-maybe-gatedelay-equiv-congruence-on-x

(defthm
 vl-maybe-gatedelay-immdeps-fn-vl-maybe-gatedelay-equiv-congruence-on-x
 (implies
      (vl-maybe-gatedelay-equiv x x-equiv)
      (equal (vl-maybe-gatedelay-immdeps-fn x ans ss ctx)
             (vl-maybe-gatedelay-immdeps-fn x-equiv ans ss ctx)))
 :rule-classes :congruence)

Theorem: vl-maybe-gatedelay-immdeps-fn-of-vl-immdeps-fix-ans

(defthm vl-maybe-gatedelay-immdeps-fn-of-vl-immdeps-fix-ans
  (equal (vl-maybe-gatedelay-immdeps-fn x (vl-immdeps-fix ans)
                                        ss ctx)
         (vl-maybe-gatedelay-immdeps-fn x ans ss ctx)))

Theorem: vl-maybe-gatedelay-immdeps-fn-vl-immdeps-equiv-congruence-on-ans

(defthm
   vl-maybe-gatedelay-immdeps-fn-vl-immdeps-equiv-congruence-on-ans
  (implies
       (vl-immdeps-equiv ans ans-equiv)
       (equal (vl-maybe-gatedelay-immdeps-fn x ans ss ctx)
              (vl-maybe-gatedelay-immdeps-fn x ans-equiv ss ctx)))
  :rule-classes :congruence)

Theorem: vl-maybe-gatedelay-immdeps-fn-of-vl-scopestack-fix-ss

(defthm vl-maybe-gatedelay-immdeps-fn-of-vl-scopestack-fix-ss
  (equal (vl-maybe-gatedelay-immdeps-fn x ans (vl-scopestack-fix ss)
                                        ctx)
         (vl-maybe-gatedelay-immdeps-fn x ans ss ctx)))

Theorem: vl-maybe-gatedelay-immdeps-fn-vl-scopestack-equiv-congruence-on-ss

(defthm
 vl-maybe-gatedelay-immdeps-fn-vl-scopestack-equiv-congruence-on-ss
 (implies
      (vl-scopestack-equiv ss ss-equiv)
      (equal (vl-maybe-gatedelay-immdeps-fn x ans ss ctx)
             (vl-maybe-gatedelay-immdeps-fn x ans ss-equiv ctx)))
 :rule-classes :congruence)

Theorem: vl-maybe-gatedelay-immdeps-fn-of-identity-ctx

(defthm vl-maybe-gatedelay-immdeps-fn-of-identity-ctx
  (equal (vl-maybe-gatedelay-immdeps-fn x ans ss (identity ctx))
         (vl-maybe-gatedelay-immdeps-fn x ans ss ctx)))

Theorem: vl-maybe-gatedelay-immdeps-fn-equal-congruence-on-ctx

(defthm vl-maybe-gatedelay-immdeps-fn-equal-congruence-on-ctx
  (implies
       (equal ctx ctx-equiv)
       (equal (vl-maybe-gatedelay-immdeps-fn x ans ss ctx)
              (vl-maybe-gatedelay-immdeps-fn x ans ss ctx-equiv)))
  :rule-classes :congruence)