Proof Step: c_0_14

name: c_0_14 syntax: thf role: plain inference: split_conjunct

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 c_0_20 ⊕ member_msg X2 analz X3 ⊖ member_msg mPair X1 X2 analz X3 c_0_14->c_0_20

Input Dependencies

c_0_2

Assumptions

c_0_10

Conclusion

c_0_14

Dependents

c_0_20

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_10])