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• Litp

Lit-fix

Basic fixing function for literals.

Signature

(lit-fix x) → x-fix

Arguments

x — Guard (litp x).

Returns

x-fix — Type (litp x-fix).

Definitions and Theorems

Function: lit-fix$inline

(defun lit-fix$inline (x)
  (declare (xargs :guard (litp x)))
  (let ((__function__ 'lit-fix))
    (declare (ignorable __function__))
    (lnfix x)))

Theorem: litp-of-lit-fix

(defthm litp-of-lit-fix
  (b* ((x-fix (lit-fix$inline x)))
    (litp x-fix))
  :rule-classes :type-prescription)

Theorem: lit-fix-of-lit

(defthm lit-fix-of-lit
  (implies (litp x)
           (equal (lit-fix x) x)))