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        • Decoding-left-inverse
          • Decodex-of-encode-of-instr
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          • Decodex-of-encode
          • Get-imm-utype-of-encode-of-instr
          • Get-fields-stype-of-encode-of-instr
          • Get-fields-btype-of-encode-of-instr
          • Get-imm-stype-of-encode-of-instr
          • Get-imm-jtype-of-encode-of-instr
          • Get-imm-btype-of-encode-of-instr
          • Get-fields-jtype-of-encode-of-instr
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• Decoding-left-inverse

Get-funct3-of-encode-of-instr

Theorems about get-funct3 applied to the encoding of different instructions.

Definitions and Theorems

Theorem: get-funct3-of-encode-of-instr-op-imm

(defthm get-funct3-of-encode-of-instr-op-imm
  (equal (get-funct3 (encode (instr-op-imm funct rd rs1 imm)
                             feat))
         (encode-op-imm-funct funct)))

Theorem: get-funct3-of-encode-of-instr-op-imms32

(defthm get-funct3-of-encode-of-instr-op-imms32
  (equal (get-funct3 (encode (instr-op-imms32 funct rd rs1 imm)
                             feat))
         (mv-nth 0 (encode-op-imms32-funct funct))))

Theorem: get-funct3-of-encode-of-instr-op-imms64

(defthm get-funct3-of-encode-of-instr-op-imms64
  (equal (get-funct3 (encode (instr-op-imms64 funct rd rs1 imm)
                             feat))
         (mv-nth 0 (encode-op-imms64-funct funct))))

Theorem: get-funct3-of-encode-of-instr-op-imm-32

(defthm get-funct3-of-encode-of-instr-op-imm-32
  (equal (get-funct3 (encode (instr-op-imm-32 funct rd rs1 imm)
                             feat))
         (encode-op-imm-32-funct funct)))

Theorem: get-funct3-of-encode-of-instr-op-imms-32

(defthm get-funct3-of-encode-of-instr-op-imms-32
  (equal (get-funct3 (encode (instr-op-imms-32 funct rd rs1 imm)
                             feat))
         (mv-nth 0 (encode-op-imms-32-funct funct))))

Theorem: get-funct3-of-encode-of-instr-op

(defthm get-funct3-of-encode-of-instr-op
  (equal (get-funct3 (encode (instr-op funct rd rs1 rs2)
                             feat))
         (mv-nth 0 (encode-op-funct funct))))

Theorem: get-funct3-of-encode-of-instr-op-32

(defthm get-funct3-of-encode-of-instr-op-32
  (equal (get-funct3 (encode (instr-op-32 funct rd rs1 rs2)
                             feat))
         (mv-nth 0 (encode-op-32-funct funct))))

Theorem: get-funct3-of-encode-of-instr-jalr

(defthm get-funct3-of-encode-of-instr-jalr
  (equal (get-funct3 (encode (instr-jalr rd rs1 imm) feat))
         0))

Theorem: get-funct3-of-encode-of-instr-branch

(defthm get-funct3-of-encode-of-instr-branch
  (equal (get-funct3 (encode (instr-branch funct rs1 rs2 imm)
                             feat))
         (encode-branch-funct funct)))

Theorem: get-funct3-of-encode-of-instr-load

(defthm get-funct3-of-encode-of-instr-load
  (equal (get-funct3 (encode (instr-load funct rd rs1 imm)
                             feat))
         (encode-load-funct funct feat)))

Theorem: get-funct3-of-encode-of-instr-store

(defthm get-funct3-of-encode-of-instr-store
  (equal (get-funct3 (encode (instr-store funct rs1 rs2 imm)
                             feat))
         (encode-store-funct funct feat)))