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Svtv-mod-alias-guard

Signature

(svtv-mod-alias-guard modidx moddb aliases) → *

Arguments

modidx — Guard (natp modidx).

moddb — Guard (moddb-ok moddb).

Definitions and Theorems

Function: svtv-mod-alias-guard

(defun svtv-mod-alias-guard (modidx moddb aliases)
 (declare (xargs :stobjs (moddb aliases)))
 (declare (xargs :guard (and (natp modidx) (moddb-ok moddb))))
 (let ((__function__ 'svtv-mod-alias-guard))
  (declare (ignorable __function__))
  (flet
   ((fn (modidx moddb aliases)
        (and (< (lnfix modidx)
                (lnfix (moddb->nmods moddb)))
             (<= (stobj-let ((elab-mod (moddb->modsi modidx moddb)))
                            (nwires)
                            (elab-mod->totalwires elab-mod)
                            nwires)
                 (aliass-length aliases)))))
   (mbe :logic (non-exec (let ((moddb (moddb-fix moddb)))
                           (fn modidx moddb aliases)))
        :exec (fn modidx moddb aliases)))))

Theorem: svtv-mod-alias-guard-of-nfix-modidx

(defthm svtv-mod-alias-guard-of-nfix-modidx
  (equal (svtv-mod-alias-guard (nfix modidx)
                               moddb aliases)
         (svtv-mod-alias-guard modidx moddb aliases)))

Theorem: svtv-mod-alias-guard-nat-equiv-congruence-on-modidx

(defthm svtv-mod-alias-guard-nat-equiv-congruence-on-modidx
 (implies (nat-equiv modidx modidx-equiv)
          (equal (svtv-mod-alias-guard modidx moddb aliases)
                 (svtv-mod-alias-guard modidx-equiv moddb aliases)))
 :rule-classes :congruence)

Theorem: svtv-mod-alias-guard-of-moddb-fix-moddb

(defthm svtv-mod-alias-guard-of-moddb-fix-moddb
  (equal (svtv-mod-alias-guard modidx (moddb-fix moddb)
                               aliases)
         (svtv-mod-alias-guard modidx moddb aliases)))

Theorem: svtv-mod-alias-guard-moddb-equiv-congruence-on-moddb

(defthm svtv-mod-alias-guard-moddb-equiv-congruence-on-moddb
 (implies (moddb-equiv moddb moddb-equiv)
          (equal (svtv-mod-alias-guard modidx moddb aliases)
                 (svtv-mod-alias-guard modidx moddb-equiv aliases)))
 :rule-classes :congruence)

Theorem: svtv-mod-alias-guard-of-lhslist-fix-aliases

(defthm svtv-mod-alias-guard-of-lhslist-fix-aliases
  (equal (svtv-mod-alias-guard modidx moddb (lhslist-fix aliases))
         (svtv-mod-alias-guard modidx moddb aliases)))

Theorem: svtv-mod-alias-guard-lhslist-equiv-congruence-on-aliases

(defthm svtv-mod-alias-guard-lhslist-equiv-congruence-on-aliases
 (implies (lhslist-equiv aliases aliases-equiv)
          (equal (svtv-mod-alias-guard modidx moddb aliases)
                 (svtv-mod-alias-guard modidx moddb aliases-equiv)))
 :rule-classes :congruence)