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      • Term
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          • Pseudo-term-fty
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• Pseudo-term-var

Pseudo-term-var->name

Accessor for the name of pseudo-term variables.

Signature

(pseudo-term-var->name x) → name

Arguments

x — Guard (pseudo-termp x).

Returns

name — Type (pseudo-var-p name).

Definitions and Theorems

Function: pseudo-term-var->name

(defun pseudo-term-var->name (x)
 (declare (xargs :guard (pseudo-termp x)))
 (declare (xargs :guard (eq (pseudo-term-kind x) :var)))
 (let ((__function__ 'pseudo-term-var->name))
  (declare (ignorable __function__))
  (mbe
      :logic (pseudo-var-fix (and (eq (pseudo-term-kind x) :var) x))
      :exec x)))

Theorem: pseudo-var-p-of-pseudo-term-var->name

(defthm pseudo-var-p-of-pseudo-term-var->name
  (b* ((name (pseudo-term-var->name x)))
    (pseudo-var-p name))
  :rule-classes :type-prescription)

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

(defthm base-ev-when-pseudo-term-var
  (implies (equal (pseudo-term-kind x) :var)
           (equal (base-ev x a)
                  (cdr (assoc (pseudo-term-var->name x) a)))))

Theorem: pseudo-term-var->name-of-pseudo-term-fix-x

(defthm pseudo-term-var->name-of-pseudo-term-fix-x
  (equal (pseudo-term-var->name (pseudo-term-fix x))
         (pseudo-term-var->name x)))

Theorem: pseudo-term-var->name-pseudo-term-equiv-congruence-on-x

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