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    • Mapping-to-language-definition

    Ldm-iconst

    Map an integer constant to an integer constant in the language definition.

    Signature
    (ldm-iconst iconst) → iconst1
    Arguments
    iconst — Guard (iconstp iconst).
    Returns
    iconst1 — Type (c::iconstp iconst1).

    Definitions and Theorems

    Function: ldm-iconst

    (defun ldm-iconst (iconst)
      (declare (xargs :guard (iconstp iconst)))
      (let ((__function__ 'ldm-iconst))
        (declare (ignorable __function__))
        (b* (((iconst iconst) iconst)
             ((mv value base)
              (ldm-dec/oct/hex-const iconst.core))
             ((mv length unsignedp)
              (ldm-isuffix-option iconst.suffix?)))
          (c::make-iconst :value value
                          :base base
                          :unsignedp unsignedp
                          :length length))))

    Theorem: iconstp-of-ldm-iconst

    (defthm iconstp-of-ldm-iconst
      (b* ((iconst1 (ldm-iconst iconst)))
        (c::iconstp iconst1))
      :rule-classes :rewrite)

    Theorem: ldm-iconst-of-iconst-fix-iconst

    (defthm ldm-iconst-of-iconst-fix-iconst
      (equal (ldm-iconst (iconst-fix iconst))
             (ldm-iconst iconst)))

    Theorem: ldm-iconst-iconst-equiv-congruence-on-iconst

    (defthm ldm-iconst-iconst-equiv-congruence-on-iconst
      (implies (iconst-equiv iconst iconst-equiv)
               (equal (ldm-iconst iconst)
                      (ldm-iconst iconst-equiv)))
      :rule-classes :congruence)