Proof Step: c_0_23

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

Proof State Overview

proof_step c_0_0 c_0_0 c_0_16 ⊕ ordinal_wo_rel2_b_a X3 X2 ⊖ order_998966685r_on_b field_b X3 X3 ⊖ order_998966684r_on_a field_a X2 X2 c_0_0->c_0_16 c_0_23 ⊕ ordinal_wo_rel2_b_a X3 X2 ⊖ order_998966685r_on_b field_b X3 X3 ⊖ order_998966684r_on_a field_a X2 X2 c_0_16->c_0_23 c_0_30 ⊕ ordinal_wo_rel2_b_a bot_bo1343651123od_b_b X2 ⊖ order_998966684r_on_a field_a X2 X2 c_0_23->c_0_30

Input Dependencies

c_0_0

Assumptions

c_0_16

Conclusion

c_0_23

Dependents

c_0_30

Formula

! [X3: set_Product_prod_b_b,X2: set_Product_prod_a_a] :
  ( ( ordinal_wo_rel2_b_a @ X3 @ X2 )
  | ~ ( order_998966685r_on_b @ ( field_b @ X3 ) @ X3 )
  | ~ ( order_998966684r_on_a @ ( field_a @ X2 ) @ X2 ) )

Source

inference(evalgc,[status(thm)],[c_0_16])