• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
    • Debugging
    • Std
    • Proof-automation
      • Gl
      • Witness-cp
      • Ccg
      • Install-not-normalized
      • Rewrite$
      • Fgl
        • Fgl-rewrite-rules
        • Fgl-function-mode
        • Fgl-object
        • Fgl-solving
        • Fgl-handling-if-then-elses
        • Fgl-getting-bits-from-objects
        • Fgl-primitive-and-meta-rules
        • Fgl-counterexamples
        • Fgl-interpreter-overview
        • 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-fty-support
        • Fgl-internals
          • Symbolic-arithmetic
            • Aabf-floor-ss-aux
            • Aabf-logapp-russ
            • Aabf-integer-length-s1
            • Aabf-mod-ss-aux
            • Aabf-ite-bss-fn-aux
            • Aabf-sign-abs-not-s
            • Aabf-ite-buu-fn-aux
            • Aabf-ash-ss
            • Aabf-<-=-ss
            • Aabf-+-ss
            • Aabf-truncate-ss
            • Aabf-rem-ss
            • Aabf-mod-ss
            • Aabf-logbitp-n2v
            • Aabf-ite-buu-fn
            • Aabf-ite-bss-fn
            • Aabf-expt-su
            • Aabf-*-ss
            • Aabf-logxor-ss
            • Aabf-logior-ss
            • Aabf-logeqv-ss
            • Aabf-logand-ss
            • Aabf-floor-ss
            • Aabf-logapp-nss-aux
            • Aabf-unary-minus-s
            • Aabf-signext-nss
            • Aabf-logapp-nss
            • Aabf-integer-length-s
            • Aabf-=-ss
            • Aabf-<-ss
            • Aabf-abs-s
            • Aabf-syntactically-zero-p
            • Aabf-scons
            • Aabf-logtail-ns
            • Aabf-loghead-ns
            • Aabf-logext-ns
            • Aabf-syntactically-false-p
            • Aabf-lognot-s
            • Int->aabflist
            • Aabf-ucons
            • Aabf-syntactically-true-p
            • Aabf-syntactically-signext-p
            • Aabf-syntactically-neg1-p
            • Aabf-sign-s
            • Aabf-integer-length-bound-s
            • Int-set-sign
            • Aabf-car
            • Aabf-first/rest/end
            • Non-int-fix
            • Maybe-integer
            • Bfr
            • Fgl-interpreter-state
        • Removable-runes
        • 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
    • Symbolic-arithmetic

    Maybe-integer

    Signature
    (maybe-integer i x intp) → *
    Arguments
    i — Guard (integerp i).

    Definitions and Theorems

    Function: maybe-integer

    (defun maybe-integer (i x intp)
      (declare (xargs :guard (integerp i)))
      (let ((__function__ 'maybe-integer))
        (declare (ignorable __function__))
        (if intp (ifix i) (non-int-fix x))))

    Theorem: maybe-integer-t

    (defthm maybe-integer-t
      (equal (maybe-integer i x t) (ifix i)))

    Theorem: maybe-integer-nil

    (defthm maybe-integer-nil
      (equal (maybe-integer i x nil)
             (non-int-fix x)))