• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Debugging
  • Projects
  • Std
    • Std/lists
    • Std/alists
    • Obags
    • Std/util
    • Std/strings
      • Pretty-printing
      • Printtree
      • Base64
      • Charset-p
      • Strtok!
      • Cases
      • Concatenation
      • Html-encoding
      • Character-kinds
      • Substrings
        • Istrpos
        • Strrpos
        • Strpos
        • Collect-syms-with-isubstr
        • Istrprefixp
        • Collect-strs-with-isubstr
        • Iprefixp
        • Strsuffixp
        • Firstn-chars
        • Strprefixp
        • Isubstrp
        • Substrp
      • Strtok
      • Equivalences
      • Url-encoding
      • Lines
      • Explode-implode-equalities
      • Ordering
      • Numbers
      • Pad-trim
      • Coercion
      • Std/strings/digit-to-char
      • Substitution
      • Symbols
    • Std/io
    • Std/osets
    • Std/basic
    • Std/system
    • Std/typed-lists
    • Std/bitsets
    • Std/testing
    • Std/typed-alists
    • Std/stobjs
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Substrings

Collect-syms-with-isubstr

Gather symbols whose names have some (case-insensitive) substring.

(collect-syms-with-isubstr a x) returns a list of all the symbols in the list x that have a as a case-insensitve substring of their symbol-name. The substring tests are carried out with isubstrp.

See also collect-strs-with-isubstr, which is similar but for string lists instead of symbol lists.

Definitions and Theorems

Function: collect-syms-with-isubstr

(defun collect-syms-with-isubstr (a x)
  (declare (xargs :guard (and (stringp a) (symbol-listp x))))
  (cond ((atom x) nil)
        ((isubstrp a (symbol-name (car x)))
         (cons (car x)
               (collect-syms-with-isubstr a (cdr x))))
        (t (collect-syms-with-isubstr a (cdr x)))))

Theorem: istreqv-implies-equal-collect-syms-with-isubstr-1

(defthm istreqv-implies-equal-collect-syms-with-isubstr-1
  (implies (istreqv a a-equiv)
           (equal (collect-syms-with-isubstr a x)
                  (collect-syms-with-isubstr a-equiv x)))
  :rule-classes (:congruence))

Theorem: collect-syms-with-isubstr-when-atom

(defthm collect-syms-with-isubstr-when-atom
  (implies (atom x)
           (equal (collect-syms-with-isubstr a x)
                  nil)))

Theorem: collect-syms-with-isubstr-of-cons

(defthm collect-syms-with-isubstr-of-cons
  (equal (collect-syms-with-isubstr a (cons b x))
         (if (isubstrp a (symbol-name b))
             (cons b (collect-syms-with-isubstr a x))
           (collect-syms-with-isubstr a x))))

Theorem: member-equal-collect-syms-with-isubstr

(defthm member-equal-collect-syms-with-isubstr
  (iff (member-equal b (collect-syms-with-isubstr a x))
       (and (member-equal b x)
            (isubstrp a (symbol-name b)))))

Theorem: subsetp-equal-of-collect-syms-with-isubstr

(defthm subsetp-equal-of-collect-syms-with-isubstr
  (implies (subsetp-equal x y)
           (subsetp-equal (collect-syms-with-isubstr a x)
                          y)))

Theorem: subsetp-equal-collect-syms-with-isubstr-self

(defthm subsetp-equal-collect-syms-with-isubstr-self
  (subsetp-equal (collect-syms-with-isubstr a x)
                 x))