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• Printer

Print-dexpo-option

Print an optional decimal exponent.

Signature

(print-dexpo-option expo? pstate) → new-pstate

Arguments

expo? — Guard (dexpo-optionp expo?).

pstate — Guard (pristatep pstate).

Returns

new-pstate — Type (pristatep new-pstate).

If there is no decimal exponent, we print nothing.

Definitions and Theorems

Function: print-dexpo-option

(defun print-dexpo-option (expo? pstate)
  (declare (xargs :guard (and (dexpo-optionp expo?)
                              (pristatep pstate))))
  (let ((__function__ 'print-dexpo-option))
    (declare (ignorable __function__))
    (dexpo-option-case expo?
                       :some (print-dexpo expo?.val pstate)
                       :none (pristate-fix pstate))))

Theorem: pristatep-of-print-dexpo-option

(defthm pristatep-of-print-dexpo-option
  (b* ((new-pstate (print-dexpo-option expo? pstate)))
    (pristatep new-pstate))
  :rule-classes :rewrite)

Theorem: pristate->gcc-of-print-dexpo-option

(defthm pristate->gcc-of-print-dexpo-option
  (b* ((?new-pstate (print-dexpo-option expo? pstate)))
    (equal (pristate->gcc new-pstate)
           (pristate->gcc pstate))))

Theorem: print-dexpo-option-of-dexpo-option-fix-expo?

(defthm print-dexpo-option-of-dexpo-option-fix-expo?
  (equal (print-dexpo-option (dexpo-option-fix expo?)
                             pstate)
         (print-dexpo-option expo? pstate)))

Theorem: print-dexpo-option-dexpo-option-equiv-congruence-on-expo?

(defthm print-dexpo-option-dexpo-option-equiv-congruence-on-expo?
  (implies (dexpo-option-equiv expo? expo?-equiv)
           (equal (print-dexpo-option expo? pstate)
                  (print-dexpo-option expo?-equiv pstate)))
  :rule-classes :congruence)

Theorem: print-dexpo-option-of-pristate-fix-pstate

(defthm print-dexpo-option-of-pristate-fix-pstate
  (equal (print-dexpo-option expo? (pristate-fix pstate))
         (print-dexpo-option expo? pstate)))

Theorem: print-dexpo-option-pristate-equiv-congruence-on-pstate

(defthm print-dexpo-option-pristate-equiv-congruence-on-pstate
  (implies (pristate-equiv pstate pstate-equiv)
           (equal (print-dexpo-option expo? pstate)
                  (print-dexpo-option expo? pstate-equiv)))
  :rule-classes :congruence)