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• Position

Position->line

Get the line field from a position.

Signature

(position->line x) → line

Arguments

x — Guard (positionp x).

Returns

line — Type (posp line).

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

Definitions and Theorems

Function: position->line$inline

(defun position->line$inline (x)
  (declare (xargs :guard (positionp x)))
  (declare (xargs :guard t))
  (mbe :logic (b* ((x (and t x))) (pos-fix (car x)))
       :exec (car x)))

Theorem: posp-of-position->line

(defthm posp-of-position->line
  (b* ((line (position->line$inline x)))
    (posp line))
  :rule-classes :rewrite)

Theorem: position->line$inline-of-position-fix-x

(defthm position->line$inline-of-position-fix-x
  (equal (position->line$inline (position-fix x))
         (position->line$inline x)))

Theorem: position->line$inline-position-equiv-congruence-on-x

(defthm position->line$inline-position-equiv-congruence-on-x
  (implies (position-equiv x x-equiv)
           (equal (position->line$inline x)
                  (position->line$inline x-equiv)))
  :rule-classes :congruence)