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• Lit-negate

Lit-negate^

Same as lit-negate, but with a type declaration that the input is 32 bits unsigned.

Signature

(lit-negate^ lit) → *

Arguments

lit — Guard (litp lit).

Definitions and Theorems

Function: lit-negate^$inline

(defun lit-negate^$inline (lit)
  (declare (type (unsigned-byte 32) lit))
  (declare (xargs :guard (litp lit)))
  (let ((__function__ 'lit-negate^))
    (declare (ignorable __function__))
    (mbe :logic (lit-negate lit)
         :exec (the (unsigned-byte 32)
                    (logxor 1 (the (unsigned-byte 32) lit))))))

Theorem: lit-negate^$inline-of-lit-fix-lit

(defthm lit-negate^$inline-of-lit-fix-lit
  (equal (lit-negate^$inline (lit-fix lit))
         (lit-negate^$inline lit)))

Theorem: lit-negate^$inline-lit-equiv-congruence-on-lit

(defthm lit-negate^$inline-lit-equiv-congruence-on-lit
  (implies (lit-equiv lit lit-equiv)
           (equal (lit-negate^$inline lit)
                  (lit-negate^$inline lit-equiv)))
  :rule-classes :congruence)