Proof Step: c_0_20

name: c_0_20 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_4 ⊕ bot_bot_nat_o = ? c_0_14 c_0_14 c_0_4->c_0_14 c_0_20 c_0_20 c_0_14->c_0_20 c_0_26 ⊕ member_nat X3 bot_bot_set_nat ⊖ bot_bot_nat_o X3 c_0_20->c_0_26

Input Dependencies

c_0_4

Assumptions

c_0_14

Conclusion

c_0_20

Dependents

c_0_26

Formula

! [X3218: nat] :
  ( ( ~ ( bot_bot_nat_o @ X3218 )
    | ( member_nat @ X3218 @ bot_bot_set_nat ) )
  & ( ~ ( member_nat @ X3218 @ bot_bot_set_nat )
    | ( bot_bot_nat_o @ X3218 ) ) )

Source

inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])