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Relativize-path

Signature

(relativize-path path base) → (mv erp relative-path)

Arguments

path — Guard (stringp path).

base — Guard (stringp base).

Returns

erp — Type (booleanp erp).

relative-path — Type (stringp relative-path).

Definitions and Theorems

Function: relativize-path

(defun relativize-path (path base)
  (declare (xargs :guard (and (stringp path) (stringp base))))
  (b* (((reterr) "")
       (path (mbe :logic (acl2::str-fix path)
                  :exec path))
       (base (mbe :logic (acl2::str-fix base)
                  :exec base))
       ((unless (str::strprefixp base path))
        (reterr t)))
    (retok (subseq (the string path)
                   (length (the string base))
                   nil))))

Theorem: booleanp-of-relativize-path.erp

(defthm booleanp-of-relativize-path.erp
  (b* (((mv acl2::?erp ?relative-path)
        (relativize-path path base)))
    (booleanp erp))
  :rule-classes :rewrite)

Theorem: stringp-of-relativize-path.relative-path

(defthm stringp-of-relativize-path.relative-path
  (b* (((mv acl2::?erp ?relative-path)
        (relativize-path path base)))
    (stringp relative-path))
  :rule-classes :rewrite)

Theorem: relativize-path-of-str-fix-path

(defthm relativize-path-of-str-fix-path
  (equal (relativize-path (acl2::str-fix path)
                          base)
         (relativize-path path base)))

Theorem: relativize-path-streqv-congruence-on-path

(defthm relativize-path-streqv-congruence-on-path
  (implies (acl2::streqv path path-equiv)
           (equal (relativize-path path base)
                  (relativize-path path-equiv base)))
  :rule-classes :congruence)

Theorem: relativize-path-of-str-fix-base

(defthm relativize-path-of-str-fix-base
  (equal (relativize-path path (acl2::str-fix base))
         (relativize-path path base)))

Theorem: relativize-path-streqv-congruence-on-base

(defthm relativize-path-streqv-congruence-on-base
  (implies (acl2::streqv base base-equiv)
           (equal (relativize-path path base)
                  (relativize-path path base-equiv)))
  :rule-classes :congruence)