Proof Step: c_0_23

name: c_0_23 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_4 c_0_4 c_0_17 ⊖ member_msg X2658 X2659 ⊕ member_msg X2658 synth X2659 c_0_4->c_0_17 c_0_23 ⊕ member_msg X1 synth X3 ⊖ member_msg X1 X3 c_0_17->c_0_23 c_0_28 ⊕ member_msg X1 synth X3 ⊖ member_msg X1 X3 c_0_23->c_0_28

Input Dependencies

c_0_4

Assumptions

c_0_17

Conclusion

c_0_23

Dependents

c_0_28

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_17])