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Printer

Print-dexprefix

Print a decimal exponent prefix.

Signature
(print-dexprefix prefix pstate) → new-pstate
Arguments: prefix — Guard (dexprefixp prefix).; pstate — Guard (pristatep pstate).
Returns: new-pstate — Type (pristatep new-pstate).

Definitions and Theorems

Function: print-dexprefix

(defun print-dexprefix (prefix pstate)
  (declare (xargs :guard (and (dexprefixp prefix)
                              (pristatep pstate))))
  (let ((__function__ 'print-dexprefix))
    (declare (ignorable __function__))
    (dexprefix-case prefix
                    :locase-e (print-astring "e" pstate)
                    :upcase-e (print-astring "E" pstate))))

Theorem: pristatep-of-print-dexprefix

(defthm pristatep-of-print-dexprefix
  (b* ((new-pstate (print-dexprefix prefix pstate)))
    (pristatep new-pstate))
  :rule-classes :rewrite)

Theorem: pristate->gcc-of-print-dexprefix

(defthm pristate->gcc-of-print-dexprefix
  (b* ((?new-pstate (print-dexprefix prefix pstate)))
    (equal (pristate->gcc new-pstate)
           (pristate->gcc pstate))))

Theorem: print-dexprefix-of-dexprefix-fix-prefix

(defthm print-dexprefix-of-dexprefix-fix-prefix
  (equal (print-dexprefix (dexprefix-fix prefix)
                          pstate)
         (print-dexprefix prefix pstate)))

Theorem: print-dexprefix-dexprefix-equiv-congruence-on-prefix

(defthm print-dexprefix-dexprefix-equiv-congruence-on-prefix
  (implies (dexprefix-equiv prefix prefix-equiv)
           (equal (print-dexprefix prefix pstate)
                  (print-dexprefix prefix-equiv pstate)))
  :rule-classes :congruence)

Theorem: print-dexprefix-of-pristate-fix-pstate

(defthm print-dexprefix-of-pristate-fix-pstate
  (equal (print-dexprefix prefix (pristate-fix pstate))
         (print-dexprefix prefix pstate)))

Theorem: print-dexprefix-pristate-equiv-congruence-on-pstate

(defthm print-dexprefix-pristate-equiv-congruence-on-pstate
  (implies (pristate-equiv pstate pstate-equiv)
           (equal (print-dexprefix prefix pstate)
                  (print-dexprefix prefix pstate-equiv)))
  :rule-classes :congruence)