• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
    • Apt
    • Zfc
    • Acre
    • Milawa
    • Smtlink
    • Abnf
    • Vwsim
    • Isar
    • Wp-gen
    • Dimacs-reader
    • Pfcs
    • Legacy-defrstobj
    • C
    • Proof-checker-array
    • Soft
    • Farray
    • Rp-rewriter
    • Instant-runoff-voting
    • Imp-language
    • Sidekick
    • Ethereum
    • Leftist-trees
    • Java
    • Riscv
      • Specification
      • Executable
        • Decoding-left-inverse
          • Decodex-of-encode-of-instr
          • Get-opcode-of-encode-of-instr
          • Get-funct3-of-encode-of-instr
          • Get-rd-of-encode-of-instr
          • Get-rs1-of-encode-of-instr
          • Get-fields-itype-of-encode-of-instr
          • Get-imm-itype-of-encode-of-instr
          • Get-rs2-of-encode-of-instr
          • Encode-injective
          • Get-fields-rtype-of-encode-of-instr
          • Get-funct7-of-encode-of-instr
          • Get-fields-utype-of-encode-of-instr
          • 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
        • Decoding-executable
        • Decoding-right-inverse
        • Execution-executable
        • Decoding-correct
      • Specialized
      • Optimized
    • Taspi
    • Bitcoin
    • Zcash
    • Des
    • X86isa
    • Sha-2
    • Yul
    • Proof-checker-itp13
    • Regex
    • ACL2-programming-language
    • Json
    • Jfkr
    • Equational
    • Cryptography
    • Axe
    • Poseidon
    • Where-do-i-place-my-book
    • Aleo
    • Bigmems
    • Builtins
    • Execloader
    • Solidity
    • Paco
    • Concurrent-programs
    • Bls12-377-curves
  • Debugging
  • Community
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Decoding-left-inverse

Get-rd-of-encode-of-instr

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

Definitions and Theorems

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

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

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

(defthm get-rd-of-encode-of-instr-op-imms32
  (equal (get-rd (encode (instr-op-imms32 funct rd rs1 imm)
                         feat))
         (ubyte5-fix rd)))

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

(defthm get-rd-of-encode-of-instr-op-imms64
  (equal (get-rd (encode (instr-op-imms64 funct rd rs1 imm)
                         feat))
         (ubyte5-fix rd)))

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

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

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

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

Theorem: get-rd-of-encode-of-instr-lui

(defthm get-rd-of-encode-of-instr-lui
  (equal (get-rd (encode (instr-lui rd imm) feat))
         (ubyte5-fix rd)))

Theorem: get-rd-of-encode-of-instr-auipc

(defthm get-rd-of-encode-of-instr-auipc
  (equal (get-rd (encode (instr-auipc rd imm) feat))
         (ubyte5-fix rd)))

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

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

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

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

Theorem: get-rd-of-encode-of-instr-jal

(defthm get-rd-of-encode-of-instr-jal
  (equal (get-rd (encode (instr-jal rd imm) feat))
         (ubyte5-fix rd)))

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

(defthm get-rd-of-encode-of-instr-jalr
  (equal (get-rd (encode (instr-jalr rd rs1 imm) feat))
         (ubyte5-fix rd)))

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

(defthm get-rd-of-encode-of-instr-load
  (equal (get-rd (encode (instr-load funct rd rs1 imm)
                         feat))
         (ubyte5-fix rd)))