Proof Step: c_0_10

name: c_0_10 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_2 c_0_2 c_0_10 ⊖ member_msg mPair X2660 X2661 analz X2662 ⊕ member_msg X2661 analz X2662 c_0_2->c_0_10 c_0_14 ⊕ member_msg X2 analz X3 ⊖ member_msg mPair X1 X2 analz X3 c_0_10->c_0_14

Input Dependencies

c_0_2

Assumptions

c_0_2

Conclusion

c_0_10

Dependents

c_0_14

Formula

! [X2660: msg,X2661: msg,X2662: set_msg] :
  ( ~ ( member_msg @ ( mPair @ X2660 @ X2661 ) @ ( analz @ X2662 ) )
  | ( member_msg @ X2661 @ ( analz @ X2662 ) ) )

Source

inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])