Proof Step: c_0_40

name: c_0_40 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_5 c_0_5 c_0_35 c_0_35 c_0_5->c_0_35 c_0_40 ⊕ member_msg X1 analz X3 ⊖ member_msg mPair X1 X2 analz X3 c_0_35->c_0_40 c_0_44 ⊕ member_msg X1 analz X3 ⊖ member_msg mPair X1 X2 analz X3 c_0_40->c_0_44

Input Dependencies

c_0_5

Assumptions

c_0_35

Conclusion

c_0_40

Dependents

c_0_44

Formula

! [X1: msg,X2: msg,X3: set_msg] :
  ( ( member_msg @ X1 @ ( analz @ X3 ) )
  | ~ ( member_msg @ ( mPair @ X1 @ X2 ) @ ( analz @ X3 ) ) )

Source

inference(split_conjunct,[status(thm)],[c_0_35])