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Param-declor-ambig

Param-declor-ambig->declor

Get the declor field from a param-declor-ambig.

Signature
(param-declor-ambig->declor x) → declor
Arguments: x — Guard (param-declorp x).
Returns: declor — Type (amb-declor/absdeclor-p declor).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: param-declor-ambig->declor$inline

(defun param-declor-ambig->declor$inline (x)
  (declare (xargs :guard (param-declorp x)))
  (declare (xargs :guard (equal (param-declor-kind x) :ambig)))
  (mbe :logic
       (b* ((x (and (equal (param-declor-kind x) :ambig)
                    x)))
         (amb-declor/absdeclor-fix (cdr x)))
       :exec (cdr x)))

Theorem: amb-declor/absdeclor-p-of-param-declor-ambig->declor

(defthm amb-declor/absdeclor-p-of-param-declor-ambig->declor
  (b* ((declor (param-declor-ambig->declor$inline x)))
    (amb-declor/absdeclor-p declor))
  :rule-classes :rewrite)

Theorem: param-declor-ambig->declor$inline-of-param-declor-fix-x

(defthm param-declor-ambig->declor$inline-of-param-declor-fix-x
  (equal (param-declor-ambig->declor$inline (param-declor-fix x))
         (param-declor-ambig->declor$inline x)))

Theorem: param-declor-ambig->declor$inline-param-declor-equiv-congruence-on-x

(defthm
 param-declor-ambig->declor$inline-param-declor-equiv-congruence-on-x
 (implies (param-declor-equiv x x-equiv)
          (equal (param-declor-ambig->declor$inline x)
                 (param-declor-ambig->declor$inline x-equiv)))
 :rule-classes :congruence)

Theorem: param-declor-ambig->declor-when-wrong-kind

(defthm param-declor-ambig->declor-when-wrong-kind
  (implies (not (equal (param-declor-kind x) :ambig))
           (equal (param-declor-ambig->declor x)
                  (amb-declor/absdeclor-fix nil))))