Proof Step: c_0_6

name: c_0_6 syntax: thf role: plain inference: fof_simplification

Proof State Overview

Input Dependencies

c_0_0

Assumptions

c_0_0

Conclusion

c_0_6

Dependents

c_0_8

Formula

! [X1: msg,X2: msg,X3: set_msg] :
  ( ( member_msg @ ( mPair @ X1 @ X2 ) @ ( synth @ X3 ) )
 => ( ~ ( member_msg @ ( mPair @ X1 @ X2 ) @ X3 )
   => ~ ( ( member_msg @ X1 @ ( synth @ X3 ) )
       => ~ ( member_msg @ X2 @ ( synth @ X3 ) ) ) ) )

Source

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