• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
    • Io
    • Defttag
    • Sys-call
    • Save-exec
    • Quicklisp
    • Std/io
    • Oslib
    • Bridge
    • Clex
      • Example-lexer
        • Token-p
        • Lex-punctuation
        • Lex-id/keyword
        • Lex-string
        • Lex-whitespace
        • Lex-comment
        • Lex1
        • Lex-main
        • Lex*
        • Tokenlist-p
        • Letter-char-p
        • Idtail-char-p
        • Whitespace-char-p
        • Number-char-p
          • Number-charlist-p
          • Number-chars
        • Tokentype-p
        • Lex*-exec
        • Newline-string
      • Sin
      • Matching-functions
      • Def-sin-progress
    • Tshell
    • Unsound-eval
    • Hacker
    • ACL2s-interface
    • Startup-banner
    • Command-line
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Example-lexer

Number-char-p

Recognize digits 0-9.

Definitions and Theorems

Function: number-char-p

(defun number-char-p (x)
  (declare (xargs :guard t))
  (and (characterp x)
       (str::dec-digit-char-p x)))

Theorem: booleanp-of-number-char-p

(defthm booleanp-of-number-char-p
  (booleanp (number-char-p x))
  :rule-classes :type-prescription)

Theorem: characterp-when-number-char-p

(defthm characterp-when-number-char-p
  (implies (number-char-p x)
           (characterp x))
  :rule-classes :compound-recognizer)

Subtopics

Number-charlist-p

(number-charlist-p x) recognizes lists where every element satisfies number-char-p.

Number-chars

A character set for number-char-p.