Proof Step: c_0_27

name: c_0_27 syntax: thf role: negated_conjecture inference: evalgc

Proof State Overview

proof_step c_0_0 c_0_0 c_0_21 ⊕ member_msg mPair X1 X2 X3 ⊕ member_msg X2 synth X3 ⊖ member_msg mPair X1 X2 synth X3 c_0_0->c_0_21 c_0_1 c_0_1 c_0_22 ⊕ member_msg mPair x y synth analz h ⊕ member_msg y synth analz h c_0_1->c_0_22 c_0_27 ⊕ member_msg mPair x y analz h ⊕ member_msg y synth analz h c_0_21->c_0_27 c_0_22->c_0_27 c_0_33 ⊕ member_msg y analz h ⊕ member_msg y synth analz h c_0_27->c_0_33

Input Dependencies

c_0_0 c_0_1

Assumptions

c_0_21 c_0_22

Conclusion

c_0_27

Dependents

c_0_33

Formula

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

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22])])