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Ldm-dec/oct/hex-const

Map a decimal, octal, or hexadecimal constant to a value and to an integer constant base in the language definition.

Signature

(ldm-dec/oct/hex-const const) → (mv value base)

Arguments

const — Guard (dec/oct/hex-constp const).

Returns

value — Type (natp value).

base — Type (c::iconst-basep base).

Definitions and Theorems

Function: ldm-dec/oct/hex-const

(defun ldm-dec/oct/hex-const (const)
  (declare (xargs :guard (dec/oct/hex-constp const)))
  (let ((__function__ 'ldm-dec/oct/hex-const))
    (declare (ignorable __function__))
    (dec/oct/hex-const-case
         const
         :dec (mv const.value (c::iconst-base-dec))
         :oct (mv const.value (c::iconst-base-oct))
         :hex (mv (str::hex-digit-chars-value const.digits)
                  (c::iconst-base-hex)))))

Theorem: natp-of-ldm-dec/oct/hex-const.value

(defthm natp-of-ldm-dec/oct/hex-const.value
  (b* (((mv acl2::?value ?base)
        (ldm-dec/oct/hex-const const)))
    (natp value))
  :rule-classes :rewrite)

Theorem: iconst-basep-of-ldm-dec/oct/hex-const.base

(defthm iconst-basep-of-ldm-dec/oct/hex-const.base
  (b* (((mv acl2::?value ?base)
        (ldm-dec/oct/hex-const const)))
    (c::iconst-basep base))
  :rule-classes :rewrite)

Theorem: ldm-dec/oct/hex-const-of-dec/oct/hex-const-fix-const

(defthm ldm-dec/oct/hex-const-of-dec/oct/hex-const-fix-const
  (equal (ldm-dec/oct/hex-const (dec/oct/hex-const-fix const))
         (ldm-dec/oct/hex-const const)))

Theorem: ldm-dec/oct/hex-const-dec/oct/hex-const-equiv-congruence-on-const

(defthm
  ldm-dec/oct/hex-const-dec/oct/hex-const-equiv-congruence-on-const
  (implies (dec/oct/hex-const-equiv const const-equiv)
           (equal (ldm-dec/oct/hex-const const)
                  (ldm-dec/oct/hex-const const-equiv)))
  :rule-classes :congruence)