Proof Step: c_0_21

name: c_0_21 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_0 c_0_0 c_0_15 ⊕ member_msg X1 synth X3 ⊕ member_msg mPair X2 X1 X3 ⊖ member_msg mPair X2 X1 synth X3 c_0_0->c_0_15 c_0_21 ⊕ member_msg mPair X1 X2 X3 ⊕ member_msg X2 synth X3 ⊖ member_msg mPair X1 X2 synth X3 c_0_15->c_0_21 c_0_27 ⊕ member_msg mPair x y analz h ⊕ member_msg y synth analz h c_0_21->c_0_27

Input Dependencies

c_0_0

Assumptions

c_0_15

Conclusion

c_0_21

Dependents

c_0_27

Formula

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

Source

inference(evalgc,[status(thm)],[c_0_15])