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Svtv-lines->overrides

Signature

(svtv-lines->overrides x index) → (mv svtv-ovs lhs-ovs)

Arguments

x — Guard (svtv-lines-p x).

index — Guard (natp index).

Returns

svtv-ovs — Type (svtv-overridelines-p svtv-ovs).

lhs-ovs — Type (lhs-overridelist-p lhs-ovs).

Definitions and Theorems

Function: svtv-lines->overrides

(defun svtv-lines->overrides (x index)
  (declare (xargs :guard (and (svtv-lines-p x) (natp index))))
  (let ((__function__ 'svtv-lines->overrides))
    (declare (ignorable __function__))
    (b* (((when (atom x)) (mv nil nil))
         ((svtv-line xf) (car x))
         (testvar (make-svar :name (cons ':svtv-override-test
                                         (lnfix index))))
         (valvar (make-svar :name (cons ':svtv-override-val
                                        (lnfix index))))
         (ov (make-lhs-override :lhs xf.lhs
                                :test (svex-var testvar)
                                :val (svex-var valvar)))
         ((mv svtv-ovs lhs-ovs)
          (svtv-lines->overrides (cdr x)
                                 (1+ (lnfix index)))))
      (mv (cons (make-svtv-overrideline :lhs xf.lhs
                                        :test testvar
                                        :val valvar
                                        :entries xf.entries)
                svtv-ovs)
          (cons ov lhs-ovs)))))

Theorem: svtv-overridelines-p-of-svtv-lines->overrides.svtv-ovs

(defthm svtv-overridelines-p-of-svtv-lines->overrides.svtv-ovs
  (b* (((mv ?svtv-ovs ?lhs-ovs)
        (svtv-lines->overrides x index)))
    (svtv-overridelines-p svtv-ovs))
  :rule-classes :rewrite)

Theorem: lhs-overridelist-p-of-svtv-lines->overrides.lhs-ovs

(defthm lhs-overridelist-p-of-svtv-lines->overrides.lhs-ovs
  (b* (((mv ?svtv-ovs ?lhs-ovs)
        (svtv-lines->overrides x index)))
    (lhs-overridelist-p lhs-ovs))
  :rule-classes :rewrite)

Theorem: svtv-lines->overrides-of-svtv-lines-fix-x

(defthm svtv-lines->overrides-of-svtv-lines-fix-x
  (equal (svtv-lines->overrides (svtv-lines-fix x)
                                index)
         (svtv-lines->overrides x index)))

Theorem: svtv-lines->overrides-svtv-lines-equiv-congruence-on-x

(defthm svtv-lines->overrides-svtv-lines-equiv-congruence-on-x
  (implies (svtv-lines-equiv x x-equiv)
           (equal (svtv-lines->overrides x index)
                  (svtv-lines->overrides x-equiv index)))
  :rule-classes :congruence)

Theorem: svtv-lines->overrides-of-nfix-index

(defthm svtv-lines->overrides-of-nfix-index
  (equal (svtv-lines->overrides x (nfix index))
         (svtv-lines->overrides x index)))

Theorem: svtv-lines->overrides-nat-equiv-congruence-on-index

(defthm svtv-lines->overrides-nat-equiv-congruence-on-index
  (implies (nat-equiv index index-equiv)
           (equal (svtv-lines->overrides x index)
                  (svtv-lines->overrides x index-equiv)))
  :rule-classes :congruence)