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        • Decoding-left-inverse
          • Decodex-of-encode-of-instr
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          • Get-rs1-of-encode-of-instr
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          • Get-rs2-of-encode-of-instr
          • Encode-injective
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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-rs2-of-encode-of-instr

Theorems about get-rs2 applied to the encoding of different instructions.

Definitions and Theorems

Theorem: get-rs2-of-encode-of-instr-op

(defthm get-rs2-of-encode-of-instr-op
  (equal (get-rs2 (encode (instr-op funct rd rs1 rs2)
                          feat))
         (ubyte5-fix rs2)))

Theorem: get-rs2-of-encode-of-instr-op-32

(defthm get-rs2-of-encode-of-instr-op-32
  (equal (get-rs2 (encode (instr-op-32 funct rd rs1 rs2)
                          feat))
         (ubyte5-fix rs2)))

Theorem: get-rs2-of-encode-of-instr-branch

(defthm get-rs2-of-encode-of-instr-branch
  (equal (get-rs2 (encode (instr-branch funct rs1 rs2 imm)
                          feat))
         (ubyte5-fix rs2)))

Theorem: get-rs2-of-encode-of-instr-store

(defthm get-rs2-of-encode-of-instr-store
  (equal (get-rs2 (encode (instr-store funct rs1 rs2 imm)
                          feat))
         (ubyte5-fix rs2)))