Proof Step: c_0_8

name: c_0_8 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_0 ⊕ keysFor = ? c_0_7 ⊕ keysFor X2879 = image_nat_nat invKey collect_nat ? c_0_0->c_0_7 c_0_8 ⊕ keysFor X2955 = image_nat_nat invKey collect_nat ? c_0_7->c_0_8 c_0_11 ⊕ keysFor X4 = image_nat_nat invKey collect_nat ? c_0_8->c_0_11

Input Dependencies

c_0_0

Assumptions

c_0_7

Conclusion

c_0_8

Dependents

c_0_11

Formula

! [X2955: set_msg] :
  ( ( keysFor @ X2955 )
  = ( image_nat_nat @ invKey
    @ ( collect_nat
      @ ^ [Z0: nat] :
        ? [X6: msg] : ( member_msg @ ( crypt @ Z0 @ X6 ) @ X2955 ) ) ) )

Source

inference(variable_rename,[status(thm)],[c_0_7])