Proof Step: c_0_7

name: c_0_7 syntax: thf role: plain inference: fof_simplification

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

Input Dependencies

c_0_0

Assumptions

c_0_0

Conclusion

c_0_7

Dependents

c_0_8

Formula

! [X2879: set_msg] :
  ( ( keysFor @ X2879 )
  = ( image_nat_nat @ invKey
    @ ( collect_nat
      @ ^ [Z0: nat] :
        ? [X6: msg] : ( member_msg @ ( crypt @ Z0 @ X6 ) @ X2879 ) ) ) )

Source

inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_0])])