• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
    • Gl
    • Witness-cp
    • Ccg
    • Install-not-normalized
    • Rewrite$
    • Removable-runes
    • Fgl
      • Fgl-rewrite-rules
        • Fgl-syntactic-checker-binders
          • Integer-length-bound
          • Check-int-sign
          • Check-int-endp
          • Check-unsigned-byte-p
          • Check-signed-byte-p
          • Check-true
          • Check-non-integerp
          • Check-integerp
          • Check-non-consp
          • Check-non-booleanp
          • Check-natp
          • Check-equal
          • Check-consp
          • Check-booleanp
          • Check-bitp
          • Alist-const-pairs
          • Symbolic-t
          • Symbolic-nil
        • Binder
        • Fancy-ev
        • Def-fgl-program
        • Bind-var
        • Add-fgl-brewrites
        • Def-fgl-rewrite
        • Narrow-equiv
        • Def-fgl-branch-merge
        • Add-fgl-rewrites
        • Fgl-interp-obj
        • Collect-cmr-rewrites-for-formula-name
        • Syntax-bind
        • Fgl-time
        • Fgl-prog2
        • Assume
        • Add-fgl-binder-meta
        • Add-fgl-primitive
        • Add-fgl-meta
        • Add-fgl-branch-merges
        • Cmr::rewritelist->lhses
        • Remove-fgl-brewrites
        • Remove-fgl-branch-merges
        • Lhses->branch-function-syms
        • Enable-execution
        • Abort-rewrite
        • Syntax-interp
        • Remove-fgl-rewrites
        • Lhses->leading-function-syms
        • Remove-fgl-primitive
        • Remove-fgl-binder-meta
        • If!
        • Disable-execution
        • Remove-fgl-meta
        • Fgl-time-fn
        • Disable-definition
        • Def-fgl-brewrite
      • Fgl-function-mode
      • Fgl-object
      • Fgl-solving
      • Fgl-handling-if-then-elses
      • Fgl-getting-bits-from-objects
      • Fgl-primitive-and-meta-rules
      • Fgl-interpreter-overview
      • Fgl-counterexamples
      • Fgl-correctness-of-binding-free-variables
      • Fgl-debugging
      • Fgl-testbenches
      • Def-fgl-boolean-constraint
      • Fgl-stack
      • Fgl-rewrite-tracing
      • Def-fgl-param-thm
      • Def-fgl-thm
      • Fgl-fast-alist-support
      • Fgl-array-support
      • Advanced-equivalence-checking-with-fgl
      • Fgl-internals
    • Efficiency
    • Rewrite-bounds
    • Bash
    • Def-dag-measure
    • Bdd
    • Remove-hyps
    • Contextual-rewriting
    • Simp
    • Rewrite$-hyps
    • Bash-term-to-dnf
    • Use-trivial-ancestors-check
    • Minimal-runes
    • Clause-processor-tools
    • Fn-is-body
    • Without-subsumption
    • Rewrite-equiv-hint
    • Def-bounds
    • Rewrite$-context
    • Try-gl-concls
    • Hint-utils
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Fgl-syntactic-checker-binders

Check-non-integerp

FGL binder that checks whether X is syntactically a non-integer, i.e. known not to be an integer.

Signature

(check-non-integerp ans x) → *

See fgl-syntactic-checker-binders and see binder for details.

Definitions and Theorems

Function: check-non-integerp

(defun check-non-integerp (ans x)
  (declare (xargs :guard t))
  (let ((__function__ 'check-non-integerp))
    (declare (ignorable __function__))
    (and (not (integerp x)) ans t)))

Theorem: check-non-integerp-implies-not-integerp

(defthm check-non-integerp-implies-not-integerp
  (implies (check-non-integerp ans x)
           (not (integerp x)))
  :rule-classes :forward-chaining)