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• Reads-over-writes

Read-xreg-of-write-memory-theorems

Theorems about reads of registers over writes of memory.

These theorems are all enabled by default because they always clearly simplify the term.

Definitions and Theorems

Theorem: read-xreg-unsigned-of-write-mem8

(defthm read-xreg-unsigned-of-write-mem8
  (equal (read-xreg-unsigned reg (write-mem8 addr val stat feat)
                             feat)
         (read-xreg-unsigned reg stat feat)))

Theorem: read-xreg-signed-of-write-mem8

(defthm read-xreg-signed-of-write-mem8
  (equal (read-xreg-signed reg (write-mem8 addr val stat feat)
                           feat)
         (read-xreg-signed reg stat feat)))

Theorem: read-xreg-unsigned32-of-write-mem8

(defthm read-xreg-unsigned32-of-write-mem8
  (equal (read-xreg-unsigned32 reg (write-mem8 addr val stat feat)
                               feat)
         (read-xreg-unsigned32 reg stat feat)))

Theorem: read-xreg-signed32-of-write-mem8

(defthm read-xreg-signed32-of-write-mem8
  (equal (read-xreg-signed32 reg (write-mem8 addr val stat feat)
                             feat)
         (read-xreg-signed32 reg stat feat)))

Theorem: read-xreg-unsigned-of-write-mem16

(defthm read-xreg-unsigned-of-write-mem16
  (equal (read-xreg-unsigned reg (write-mem16 addr val stat feat)
                             feat)
         (read-xreg-unsigned reg stat feat)))

Theorem: read-xreg-signed-of-write-mem16

(defthm read-xreg-signed-of-write-mem16
  (equal (read-xreg-signed reg (write-mem16 addr val stat feat)
                           feat)
         (read-xreg-signed reg stat feat)))

Theorem: read-xreg-unsigned32-of-write-mem16

(defthm read-xreg-unsigned32-of-write-mem16
  (equal (read-xreg-unsigned32 reg (write-mem16 addr val stat feat)
                               feat)
         (read-xreg-unsigned32 reg stat feat)))

Theorem: read-xreg-signed32-of-write-mem16

(defthm read-xreg-signed32-of-write-mem16
  (equal (read-xreg-signed32 reg (write-mem16 addr val stat feat)
                             feat)
         (read-xreg-signed32 reg stat feat)))

Theorem: read-xreg-unsigned-of-write-mem32

(defthm read-xreg-unsigned-of-write-mem32
  (equal (read-xreg-unsigned reg (write-mem32 addr val stat feat)
                             feat)
         (read-xreg-unsigned reg stat feat)))

Theorem: read-xreg-signed-of-write-mem32

(defthm read-xreg-signed-of-write-mem32
  (equal (read-xreg-signed reg (write-mem32 addr val stat feat)
                           feat)
         (read-xreg-signed reg stat feat)))

Theorem: read-xreg-unsigned32-of-write-mem32

(defthm read-xreg-unsigned32-of-write-mem32
  (equal (read-xreg-unsigned32 reg (write-mem32 addr val stat feat)
                               feat)
         (read-xreg-unsigned32 reg stat feat)))

Theorem: read-xreg-signed32-of-write-mem32

(defthm read-xreg-signed32-of-write-mem32
  (equal (read-xreg-signed32 reg (write-mem32 addr val stat feat)
                             feat)
         (read-xreg-signed32 reg stat feat)))

Theorem: read-xreg-unsigned-of-write-mem64

(defthm read-xreg-unsigned-of-write-mem64
  (equal (read-xreg-unsigned reg (write-mem64 addr val stat feat)
                             feat)
         (read-xreg-unsigned reg stat feat)))

Theorem: read-xreg-signed-of-write-mem64

(defthm read-xreg-signed-of-write-mem64
  (equal (read-xreg-signed reg (write-mem64 addr val stat feat)
                           feat)
         (read-xreg-signed reg stat feat)))

Theorem: read-xreg-unsigned32-of-write-mem64

(defthm read-xreg-unsigned32-of-write-mem64
  (equal (read-xreg-unsigned32 reg (write-mem64 addr val stat feat)
                               feat)
         (read-xreg-unsigned32 reg stat feat)))

Theorem: read-xreg-signed32-of-write-mem64

(defthm read-xreg-signed32-of-write-mem64
  (equal (read-xreg-signed32 reg (write-mem64 addr val stat feat)
                             feat)
         (read-xreg-signed32 reg stat feat)))