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• Pseudo-term-call
• Pseudo-term-fncall
• Pseudo-term-lambda

Pseudo-term-call->fn

Accessor for the function of a function call or lambda call pseduo-term.

Signature

(pseudo-term-call->fn x) → fn

Arguments

x — Guard (pseudo-termp x).

Returns

fn — Type (pseudo-fn-p fn).

Definitions and Theorems

Function: pseudo-term-call->fn

(defun pseudo-term-call->fn (x)
  (declare (xargs :guard (pseudo-termp x)))
  (declare (xargs :guard (member-eq (pseudo-term-kind x)
                                    '(:fncall :lambda))))
  (let ((__function__ 'pseudo-term-call->fn))
    (declare (ignorable __function__))
    (mbe :logic (and (or (eq (pseudo-term-kind x) :lambda)
                         (eq (pseudo-term-kind x) :fncall))
                     (car (pseudo-term-fix x)))
         :exec (car x))))

Theorem: pseudo-fn-p-of-pseudo-term-call->fn

(defthm pseudo-fn-p-of-pseudo-term-call->fn
  (b* ((fn (pseudo-term-call->fn x)))
    (pseudo-fn-p fn))
  :rule-classes :rewrite)

Theorem: not-quote-of-pseudo-term-call->fn

(defthm not-quote-of-pseudo-term-call->fn
  (not (equal (pseudo-term-call->fn x)
              'quote)))

Theorem: pseudo-term-call->fn-when-lambda

(defthm pseudo-term-call->fn-when-lambda
  (implies (eq (pseudo-term-kind x) :lambda)
           (equal (pseudo-term-call->fn x)
                  (pseudo-term-lambda->fn x))))

Theorem: pseudo-term-call->fn-when-fncall

(defthm pseudo-term-call->fn-when-fncall
  (implies (eq (pseudo-term-kind x) :fncall)
           (equal (pseudo-term-call->fn x)
                  (pseudo-term-fncall->fn x))))

Theorem: pseudo-term-call->fn-of-pseudo-term-fix-x

(defthm pseudo-term-call->fn-of-pseudo-term-fix-x
  (equal (pseudo-term-call->fn (pseudo-term-fix x))
         (pseudo-term-call->fn x)))

Theorem: pseudo-term-call->fn-pseudo-term-equiv-congruence-on-x

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