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      • Term
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• Pseudo-term-quote

Pseudo-term-quote->val

Accessor for the value of quote pseudo-terms.

Signature

(pseudo-term-quote->val x) → *

Arguments

x — Guard (pseudo-termp x).

Definitions and Theorems

Function: pseudo-term-quote->val

(defun pseudo-term-quote->val (x)
  (declare (xargs :guard (pseudo-termp x)))
  (declare (xargs :guard (eq (pseudo-term-kind x) :quote)))
  (let ((__function__ 'pseudo-term-quote->val))
    (declare (ignorable __function__))
    (cadr (pseudo-term-fix x))))

Theorem: base-ev-when-pseudo-term-quote

(defthm base-ev-when-pseudo-term-quote
  (implies (equal (pseudo-term-kind x) :quote)
           (equal (base-ev x a)
                  (pseudo-term-quote->val x))))

Theorem: pseudo-term-quote->val-of-pseudo-term-fix-x

(defthm pseudo-term-quote->val-of-pseudo-term-fix-x
  (equal (pseudo-term-quote->val (pseudo-term-fix x))
         (pseudo-term-quote->val x)))

Theorem: pseudo-term-quote->val-pseudo-term-equiv-congruence-on-x

(defthm pseudo-term-quote->val-pseudo-term-equiv-congruence-on-x
  (implies (pseudo-term-equiv x x-equiv)
           (equal (pseudo-term-quote->val x)
                  (pseudo-term-quote->val x-equiv)))
  :rule-classes :congruence)