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Asm-stmt

Asm-stmt->num-colons

Get the num-colons field from a asm-stmt.

Signature
(asm-stmt->num-colons x) → num-colons
Arguments: x — Guard (asm-stmtp x).
Returns: num-colons — Type (natp num-colons).

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

Definitions and Theorems

Function: asm-stmt->num-colons$inline

(defun asm-stmt->num-colons$inline (x)
  (declare (xargs :guard (asm-stmtp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (nfix (cdr (cdr (car x)))))
       :exec (cdr (cdr (car x)))))

Theorem: natp-of-asm-stmt->num-colons

(defthm natp-of-asm-stmt->num-colons
  (b* ((num-colons (asm-stmt->num-colons$inline x)))
    (natp num-colons))
  :rule-classes :rewrite)

Theorem: asm-stmt->num-colons$inline-of-asm-stmt-fix-x

(defthm asm-stmt->num-colons$inline-of-asm-stmt-fix-x
  (equal (asm-stmt->num-colons$inline (asm-stmt-fix x))
         (asm-stmt->num-colons$inline x)))

Theorem: asm-stmt->num-colons$inline-asm-stmt-equiv-congruence-on-x

(defthm asm-stmt->num-colons$inline-asm-stmt-equiv-congruence-on-x
  (implies (asm-stmt-equiv x x-equiv)
           (equal (asm-stmt->num-colons$inline x)
                  (asm-stmt->num-colons$inline x-equiv)))
  :rule-classes :congruence)