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Instr-jal

Instr-jal->imm

Get the imm field from a instr-jal.

Signature
(instr-jal->imm x) → imm
Arguments: x — Guard (instrp x).
Returns: imm — Type (ubyte20p imm).

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

Definitions and Theorems

Function: instr-jal->imm$inline

(defun instr-jal->imm$inline (x)
  (declare (xargs :guard (instrp x)))
  (declare (xargs :guard (equal (instr-kind x) :jal)))
  (mbe :logic
       (b* ((x (and (equal (instr-kind x) :jal) x)))
         (ubyte20-fix (std::da-nth 1 (cdr x))))
       :exec (std::da-nth 1 (cdr x))))

Theorem: ubyte20p-of-instr-jal->imm

(defthm ubyte20p-of-instr-jal->imm
  (b* ((imm (instr-jal->imm$inline x)))
    (ubyte20p imm))
  :rule-classes :rewrite)

Theorem: instr-jal->imm$inline-of-instr-fix-x

(defthm instr-jal->imm$inline-of-instr-fix-x
  (equal (instr-jal->imm$inline (instr-fix x))
         (instr-jal->imm$inline x)))

Theorem: instr-jal->imm$inline-instr-equiv-congruence-on-x

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

Theorem: instr-jal->imm-when-wrong-kind

(defthm instr-jal->imm-when-wrong-kind
  (implies (not (equal (instr-kind x) :jal))
           (equal (instr-jal->imm x)
                  (ubyte20-fix nil))))