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Attrib-name-ident

Attrib-name-ident->ident

Get the ident field from a attrib-name-ident.

Signature
(attrib-name-ident->ident x) → ident
Arguments: x — Guard (attrib-namep x).
Returns: ident — Type (identp ident).

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

Definitions and Theorems

Function: attrib-name-ident->ident$inline

(defun attrib-name-ident->ident$inline (x)
  (declare (xargs :guard (attrib-namep x)))
  (declare (xargs :guard (equal (attrib-name-kind x) :ident)))
  (mbe :logic
       (b* ((x (and (equal (attrib-name-kind x) :ident)
                    x)))
         (ident-fix (cdr x)))
       :exec (cdr x)))

Theorem: identp-of-attrib-name-ident->ident

(defthm identp-of-attrib-name-ident->ident
  (b* ((ident (attrib-name-ident->ident$inline x)))
    (identp ident))
  :rule-classes :rewrite)

Theorem: attrib-name-ident->ident$inline-of-attrib-name-fix-x

(defthm attrib-name-ident->ident$inline-of-attrib-name-fix-x
  (equal (attrib-name-ident->ident$inline (attrib-name-fix x))
         (attrib-name-ident->ident$inline x)))

Theorem: attrib-name-ident->ident$inline-attrib-name-equiv-congruence-on-x

(defthm
  attrib-name-ident->ident$inline-attrib-name-equiv-congruence-on-x
  (implies (attrib-name-equiv x x-equiv)
           (equal (attrib-name-ident->ident$inline x)
                  (attrib-name-ident->ident$inline x-equiv)))
  :rule-classes :congruence)

Theorem: attrib-name-ident->ident-when-wrong-kind

(defthm attrib-name-ident->ident-when-wrong-kind
  (implies (not (equal (attrib-name-kind x) :ident))
           (equal (attrib-name-ident->ident x)
                  (ident-fix nil))))