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Instr-branch

Instr-branch->funct

Get the funct field from a instr-branch.

Signature
(instr-branch->funct x) → funct
Arguments: x — Guard (instrp x).
Returns: funct — Type (branch-funct-p funct).

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

Definitions and Theorems

Function: instr-branch->funct$inline

(defun instr-branch->funct$inline (x)
  (declare (xargs :guard (instrp x)))
  (declare (xargs :guard (equal (instr-kind x) :branch)))
  (mbe :logic
       (b* ((x (and (equal (instr-kind x) :branch) x)))
         (branch-funct-fix (std::da-nth 0 (cdr x))))
       :exec (std::da-nth 0 (cdr x))))

Theorem: branch-funct-p-of-instr-branch->funct

(defthm branch-funct-p-of-instr-branch->funct
  (b* ((funct (instr-branch->funct$inline x)))
    (branch-funct-p funct))
  :rule-classes :rewrite)

Theorem: instr-branch->funct$inline-of-instr-fix-x

(defthm instr-branch->funct$inline-of-instr-fix-x
  (equal (instr-branch->funct$inline (instr-fix x))
         (instr-branch->funct$inline x)))

Theorem: instr-branch->funct$inline-instr-equiv-congruence-on-x

(defthm instr-branch->funct$inline-instr-equiv-congruence-on-x
  (implies (instr-equiv x x-equiv)
           (equal (instr-branch->funct$inline x)
                  (instr-branch->funct$inline x-equiv)))
  :rule-classes :congruence)

Theorem: instr-branch->funct-when-wrong-kind

(defthm instr-branch->funct-when-wrong-kind
  (implies (not (equal (instr-kind x) :branch))
           (equal (instr-branch->funct x)
                  (branch-funct-fix nil))))