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Lhprobe-constraint-overridemux-eval

Signature

(lhprobe-constraint-overridemux-eval x envs outs) → *

Arguments

x — Guard (lhprobe-constraint-p x).

envs — Guard (svex-envlist-p envs).

outs — Guard (svex-envlist-p outs).

Definitions and Theorems

Function: lhprobe-constraint-overridemux-eval

(defun lhprobe-constraint-overridemux-eval (x envs outs)
  (declare (xargs :guard (and (lhprobe-constraint-p x)
                              (svex-envlist-p envs)
                              (svex-envlist-p outs))))
  (let ((__function__ 'lhprobe-constraint-overridemux-eval))
    (declare (ignorable __function__))
    (b* (((lhprobe-constraint x)))
      (equal (lhprobe-overridemux-eval x.lhprobe envs outs)
             (lhprobe/4vec-overridemux-eval x.val envs outs)))))

Theorem: lhprobe-constraint-overridemux-eval-of-lhprobe-constraint-fix-x

(defthm
    lhprobe-constraint-overridemux-eval-of-lhprobe-constraint-fix-x
 (equal
     (lhprobe-constraint-overridemux-eval (lhprobe-constraint-fix x)
                                          envs outs)
     (lhprobe-constraint-overridemux-eval x envs outs)))

Theorem: lhprobe-constraint-overridemux-eval-lhprobe-constraint-equiv-congruence-on-x

(defthm
 lhprobe-constraint-overridemux-eval-lhprobe-constraint-equiv-congruence-on-x
 (implies
    (lhprobe-constraint-equiv x x-equiv)
    (equal (lhprobe-constraint-overridemux-eval x envs outs)
           (lhprobe-constraint-overridemux-eval x-equiv envs outs)))
 :rule-classes :congruence)

Theorem: lhprobe-constraint-overridemux-eval-of-svex-envlist-fix-envs

(defthm lhprobe-constraint-overridemux-eval-of-svex-envlist-fix-envs
 (equal
      (lhprobe-constraint-overridemux-eval x (svex-envlist-fix envs)
                                           outs)
      (lhprobe-constraint-overridemux-eval x envs outs)))

Theorem: lhprobe-constraint-overridemux-eval-svex-envlist-equiv-congruence-on-envs

(defthm
 lhprobe-constraint-overridemux-eval-svex-envlist-equiv-congruence-on-envs
 (implies
    (svex-envlist-equiv envs envs-equiv)
    (equal (lhprobe-constraint-overridemux-eval x envs outs)
           (lhprobe-constraint-overridemux-eval x envs-equiv outs)))
 :rule-classes :congruence)

Theorem: lhprobe-constraint-overridemux-eval-of-svex-envlist-fix-outs

(defthm lhprobe-constraint-overridemux-eval-of-svex-envlist-fix-outs
  (equal (lhprobe-constraint-overridemux-eval
              x envs (svex-envlist-fix outs))
         (lhprobe-constraint-overridemux-eval x envs outs)))

Theorem: lhprobe-constraint-overridemux-eval-svex-envlist-equiv-congruence-on-outs

(defthm
 lhprobe-constraint-overridemux-eval-svex-envlist-equiv-congruence-on-outs
 (implies
    (svex-envlist-equiv outs outs-equiv)
    (equal (lhprobe-constraint-overridemux-eval x envs outs)
           (lhprobe-constraint-overridemux-eval x envs outs-equiv)))
 :rule-classes :congruence)