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• Pseudo-term-fty

Pseudo-term-var

Constructor for variable (:var) pseudo-terms.

Signature

(pseudo-term-var name) → term

Arguments

name — Guard (pseudo-var-p name).

Returns

term — Type (pseudo-termp term).

Definitions and Theorems

Function: pseudo-term-var

(defun pseudo-term-var (name)
  (declare (xargs :guard (pseudo-var-p name)))
  (let ((__function__ 'pseudo-term-var))
    (declare (ignorable __function__))
    (pseudo-var-fix name)))

Theorem: pseudo-termp-of-pseudo-term-var

(defthm pseudo-termp-of-pseudo-term-var
  (b* ((term (pseudo-term-var name)))
    (pseudo-termp term))
  :rule-classes :rewrite)

Theorem: kind-of-pseudo-term-var

(defthm kind-of-pseudo-term-var
  (equal (pseudo-term-kind (pseudo-term-var name))
         :var))

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

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

Theorem: pseudo-term-var-of-accessors

(defthm pseudo-term-var-of-accessors
  (implies (equal (pseudo-term-kind x) :var)
           (equal (pseudo-term-var (pseudo-term-var->name x))
                  (pseudo-term-fix x))))

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

(defthm base-ev-of-pseudo-term-var
  (equal (base-ev (pseudo-term-var name) a)
         (cdr (assoc (pseudo-var-fix name) a))))

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

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

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

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

Subtopics

Pseudo-term-var->name

Accessor for the name of pseudo-term variables.