Proof Step: c_0_26

name: c_0_26 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_4 ⊕ bot_bot_nat_o = ? c_0_20 c_0_20 c_0_4->c_0_20 c_0_26 ⊕ member_nat X3 bot_bot_set_nat ⊖ bot_bot_nat_o X3 c_0_20->c_0_26 c_0_31 ⊕ member_nat X3 bot_bot_set_nat ⊖ bot_bot_nat_o X3 c_0_26->c_0_31

Input Dependencies

c_0_4

Assumptions

c_0_20

Conclusion

c_0_26

Dependents

c_0_31

Formula

! [X3: nat] :
  ( ( member_nat @ X3 @ bot_bot_set_nat )
  | ~ ( bot_bot_nat_o @ X3 ) )

Source

inference(split_conjunct,[status(thm)],[c_0_20])