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• Reads-over-writes

Read-xreg-of-write-pc-theorems

Theorems about reads of registers over writes of program counter.

The writes of program counter include not only write-pc but also inc4-pc.

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

Definitions and Theorems

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

(defthm read-xreg-unsigned-of-write-pc
  (equal (read-xreg-unsigned reg (write-pc pc stat feat)
                             feat)
         (read-xreg-unsigned reg stat feat)))

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

(defthm read-xreg-signed-of-write-pc
  (equal (read-xreg-signed reg (write-pc pc stat feat)
                           feat)
         (read-xreg-signed reg stat feat)))

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

(defthm read-xreg-unsigned32-of-write-pc
  (equal (read-xreg-unsigned32 reg (write-pc pc stat feat)
                               feat)
         (read-xreg-unsigned32 reg stat feat)))

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

(defthm read-xreg-signed32-of-write-pc
  (equal (read-xreg-signed32 reg (write-pc pc stat feat)
                             feat)
         (read-xreg-signed32 reg stat feat)))

Theorem: read-xreg-unsigned-of-inc4-pc

(defthm read-xreg-unsigned-of-inc4-pc
  (equal (read-xreg-unsigned reg (inc4-pc stat feat)
                             feat)
         (read-xreg-unsigned reg stat feat)))

Theorem: read-xreg-signed-of-inc4-pc

(defthm read-xreg-signed-of-inc4-pc
  (equal (read-xreg-signed reg (inc4-pc stat feat)
                           feat)
         (read-xreg-signed reg stat feat)))

Theorem: read-xreg-unsigned32-of-inc4-pc

(defthm read-xreg-unsigned32-of-inc4-pc
  (equal (read-xreg-unsigned32 reg (inc4-pc stat feat)
                               feat)
         (read-xreg-unsigned32 reg stat feat)))

Theorem: read-xreg-signed32-of-inc4-pc

(defthm read-xreg-signed32-of-inc4-pc
  (equal (read-xreg-signed32 reg (inc4-pc stat feat)
                             feat)
         (read-xreg-signed32 reg stat feat)))