		Search-engine friendly clone of the ACL2 documentation.

Transformations

Dead-code-eliminator-no-function-definitions

Proof that the DeadCodeEliminator transformation preserves the condition in which functions are defined elsewhere.

Definitions and Theorems

Theorem: statement-nofunp-of-statement-dead

(defthm statement-nofunp-of-statement-dead
  (implies (statement-nofunp stmt)
           (statement-nofunp (statement-dead stmt))))

Theorem: statement-list-nofunp-of-statement-list-dead

(defthm statement-list-nofunp-of-statement-list-dead
  (implies (statement-list-nofunp stmts)
           (statement-list-nofunp (statement-list-dead stmts))))

Theorem: block-nofunp-of-block-dead

(defthm block-nofunp-of-block-dead
  (implies (block-nofunp block)
           (block-nofunp (block-dead block))))

Theorem: block-option-nofunp-of-block-option-dead

(defthm block-option-nofunp-of-block-option-dead
  (implies (block-option-nofunp block?)
           (block-option-nofunp (block-option-dead block?))))

Theorem: swcase-nofunp-of-swcase-dead

(defthm swcase-nofunp-of-swcase-dead
  (implies (swcase-nofunp case)
           (swcase-nofunp (swcase-dead case))))

Theorem: swcase-list-nofunp-of-swcase-list-dead

(defthm swcase-list-nofunp-of-swcase-list-dead
  (implies (swcase-list-nofunp cases)
           (swcase-list-nofunp (swcase-list-dead cases))))

Theorem: fundef-nofunp-of-fundef-dead

(defthm fundef-nofunp-of-fundef-dead
  (implies (fundef-nofunp fundef)
           (fundef-nofunp (fundef-dead fundef))))