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• Svtv-to-fsm

Svtv-override-triple-test-only-p

Signature

(svtv-override-triple-test-only-p triple spec) → *

Arguments

triple — Guard (svtv-override-triple-p triple).

spec — Guard (svex-env-p spec).

Definitions and Theorems

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

(defun svtv-override-triple-test-only-p (triple spec)
  (declare (xargs :guard (and (svtv-override-triple-p triple)
                              (svex-env-p spec))))
  (let ((__function__ 'svtv-override-triple-test-only-p))
    (declare (ignorable __function__))
    (b* (((svtv-override-triple triple)))
      (svex-case triple.test
                 :call nil
                 :otherwise (or (svex-case triple.val :quote)
                                (equal (svex-eval triple.val spec)
                                       (4vec-x)))))))

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

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

Theorem: svtv-override-triple-test-only-p-of-svtv-override-triple-fix-triple

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

Theorem: svtv-override-triple-test-only-p-svtv-override-triple-equiv-congruence-on-triple

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

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

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

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

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