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• Reads-over-writes

Read-memory-of-write-xreg-theorems

Theorems about reads of memory over writes of registers.

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

Definitions and Theorems

Theorem: read-mem8-of-write-xreg

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

Theorem: read-mem16-of-write-xreg

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

Theorem: read-mem32-of-write-xreg

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

Theorem: read-mem64-of-write-xreg

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

Theorem: read-mem8-of-write-xreg-32

(defthm read-mem8-of-write-xreg-32
  (equal (read-mem8 addr (write-xreg-32 reg val stat feat)
                    feat)
         (read-mem8 addr stat feat)))

Theorem: read-mem16-of-write-xreg-32

(defthm read-mem16-of-write-xreg-32
  (equal (read-mem16 addr (write-xreg-32 reg val stat feat)
                     feat)
         (read-mem16 addr stat feat)))

Theorem: read-mem32-of-write-xreg-32

(defthm read-mem32-of-write-xreg-32
  (equal (read-mem32 addr (write-xreg-32 reg val stat feat)
                     feat)
         (read-mem32 addr stat feat)))

Theorem: read-mem64-of-write-xreg-32

(defthm read-mem64-of-write-xreg-32
  (equal (read-mem64 addr (write-xreg-32 reg val stat feat)
                     feat)
         (read-mem64 addr stat feat)))