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Command-instruction

Command-instruction->get

Get the get field from a command-instruction.

Signature
(command-instruction->get x) → get
Arguments: x — Guard (commandp x).
Returns: get — Type (instructionp get).

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

Definitions and Theorems

Function: command-instruction->get$inline

(defun command-instruction->get$inline (x)
  (declare (xargs :guard (commandp x)))
  (declare (xargs :guard (equal (command-kind x) :instruction)))
  (let ((__function__ 'command-instruction->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (command-kind x) :instruction)
                      x)))
           (instruction-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: instructionp-of-command-instruction->get

(defthm instructionp-of-command-instruction->get
  (b* ((get (command-instruction->get$inline x)))
    (instructionp get))
  :rule-classes :rewrite)

Theorem: command-instruction->get$inline-of-command-fix-x

(defthm command-instruction->get$inline-of-command-fix-x
  (equal (command-instruction->get$inline (command-fix x))
         (command-instruction->get$inline x)))

Theorem: command-instruction->get$inline-command-equiv-congruence-on-x

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

Theorem: command-instruction->get-when-wrong-kind

(defthm command-instruction->get-when-wrong-kind
  (implies (not (equal (command-kind x) :instruction))
           (equal (command-instruction->get x)
                  (instruction-fix nil))))