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Symbol-terminal

Symbol-terminal->get

Get the get field from a symbol-terminal.

Signature
(symbol-terminal->get x) → get
Arguments: x — Guard (symbolp x).
Returns: get — Type (natp get).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: symbol-terminal->get$inline

(defun symbol-terminal->get$inline (x)
  (declare (xargs :guard (symbolp x)))
  (declare (xargs :guard (equal (symbol-kind x) :terminal)))
  (let ((__function__ 'symbol-terminal->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (symbol-kind x) :terminal)
                      x)))
           (nfix x))
         :exec x)))

Theorem: natp-of-symbol-terminal->get

(defthm natp-of-symbol-terminal->get
  (b* ((get (symbol-terminal->get$inline x)))
    (natp get))
  :rule-classes :rewrite)

Theorem: symbol-terminal->get$inline-of-symbol-fix-x

(defthm symbol-terminal->get$inline-of-symbol-fix-x
  (equal (symbol-terminal->get$inline (symbol-fix x))
         (symbol-terminal->get$inline x)))

Theorem: symbol-terminal->get$inline-symbol-equiv-congruence-on-x

(defthm symbol-terminal->get$inline-symbol-equiv-congruence-on-x
  (implies (symbol-equiv x x-equiv)
           (equal (symbol-terminal->get$inline x)
                  (symbol-terminal->get$inline x-equiv)))
  :rule-classes :congruence)

Theorem: symbol-terminal->get-when-wrong-kind

(defthm symbol-terminal->get-when-wrong-kind
  (implies (not (equal (symbol-kind x) :terminal))
           (equal (symbol-terminal->get x)
                  (nfix nil))))