Proof Step: c_0_18

name: c_0_18 syntax: thf role: negated_conjecture inference: split_conjunct

Proof State Overview

proof_step c_0_1 c_0_1 c_0_9 c_0_9 c_0_1->c_0_9 c_0_18 ⊖ member_msg mPair x y synth analz h ⊖ member_msg x synth analz h ⊖ member_msg y synth analz h c_0_9->c_0_18 c_0_24 ⊖ member_msg x synth analz h ⊖ member_msg y synth analz h ⊖ member_msg mPair x y synth analz h c_0_18->c_0_24

Input Dependencies

c_0_1

Assumptions

c_0_9

Conclusion

c_0_18

Dependents

c_0_24

Formula

( ~ ( member_msg @ ( mPair @ x @ y ) @ ( synth @ ( analz @ h ) ) )
| ~ ( member_msg @ x @ ( synth @ ( analz @ h ) ) )
| ~ ( member_msg @ y @ ( synth @ ( analz @ h ) ) ) )

Source

inference(split_conjunct,[status(thm)],[c_0_9])