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• Svtv-to-fsm

Svtv-override-triplemaplist-test-only-p

Signature

(svtv-override-triplemaplist-test-only-p triplemaps spec) → *

Arguments

triplemaps — Guard (svtv-override-triplemaplist-p triplemaps).

spec — Guard (svex-env-p spec).

Definitions and Theorems

Function: svtv-override-triplemaplist-test-only-p

(defun svtv-override-triplemaplist-test-only-p (triplemaps spec)
  (declare
       (xargs :guard (and (svtv-override-triplemaplist-p triplemaps)
                          (svex-env-p spec))))
  (let ((__function__ 'svtv-override-triplemaplist-test-only-p))
    (declare (ignorable __function__))
    (if (atom triplemaps)
        t
      (and (svtv-override-triplemap-test-only-p (car triplemaps)
                                                spec)
           (svtv-override-triplemaplist-test-only-p (cdr triplemaps)
                                                    spec)))))

Theorem: svtv-override-triplemaplist-test-only-p-correct

(defthm svtv-override-triplemaplist-test-only-p-correct
 (implies
  (and (svtv-override-triplemaplist-test-only-p triplemaps spec)
       (svex-envs-1mask-equiv env1 env2))
  (equal
   (equal
      (svtv-override-triplemaplist-envs-match triplemaps env1 spec)
      (svtv-override-triplemaplist-envs-match triplemaps env2 spec))
   t)))

Theorem: svtv-override-triplemaplist-test-only-p-of-svtv-override-triplemaplist-fix-triplemaps

(defthm
 svtv-override-triplemaplist-test-only-p-of-svtv-override-triplemaplist-fix-triplemaps
 (equal (svtv-override-triplemaplist-test-only-p
             (svtv-override-triplemaplist-fix triplemaps)
             spec)
        (svtv-override-triplemaplist-test-only-p triplemaps spec)))

Theorem: svtv-override-triplemaplist-test-only-p-svtv-override-triplemaplist-equiv-congruence-on-triplemaps

(defthm
 svtv-override-triplemaplist-test-only-p-svtv-override-triplemaplist-equiv-congruence-on-triplemaps
 (implies
  (svtv-override-triplemaplist-equiv triplemaps triplemaps-equiv)
  (equal
   (svtv-override-triplemaplist-test-only-p triplemaps spec)
   (svtv-override-triplemaplist-test-only-p triplemaps-equiv spec)))
 :rule-classes :congruence)

Theorem: svtv-override-triplemaplist-test-only-p-of-svex-env-fix-spec

(defthm svtv-override-triplemaplist-test-only-p-of-svex-env-fix-spec
  (equal (svtv-override-triplemaplist-test-only-p
              triplemaps (svex-env-fix spec))
         (svtv-override-triplemaplist-test-only-p triplemaps spec)))

Theorem: svtv-override-triplemaplist-test-only-p-svex-env-equiv-congruence-on-spec

(defthm
 svtv-override-triplemaplist-test-only-p-svex-env-equiv-congruence-on-spec
 (implies
  (svex-env-equiv spec spec-equiv)
  (equal
   (svtv-override-triplemaplist-test-only-p triplemaps spec)
   (svtv-override-triplemaplist-test-only-p triplemaps spec-equiv)))
 :rule-classes :congruence)