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Fgl-congruence-rune

Fgl-congruence-rune-p

Recognizer for fgl-congruence-rune structures.

Signature
(fgl-congruence-rune-p x) → *

Definitions and Theorems

Function: fgl-congruence-rune-p

(defun fgl-congruence-rune-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'fgl-congruence-rune-p))
    (declare (ignorable __function__))
    (and (consp x)
         (eq (car x) :congruence)
         (true-listp (cdr x))
         (eql (len (cdr x)) 1)
         (b* ((name (std::da-nth 0 (cdr x))))
           (pseudo-fnsym-p name)))))

Theorem: consp-when-fgl-congruence-rune-p

(defthm consp-when-fgl-congruence-rune-p
  (implies (fgl-congruence-rune-p x)
           (consp x))
  :rule-classes :compound-recognizer)