Proof Step: c_0_0

name: c_0_0 syntax: thf role: axiom file: '/home/yan/atp/benchmarks/isa/deeper/B-mesh-th0/problems/HOL-Cardinals/0009_Ordinal_Arithmetic/prob_00955_041225.p' file node: fact_85_wo__rel2_Ointro

Proof State Overview

proof_step c_0_0 c_0_0 c_0_7 ⊖ order_998966685r_on_b field_b X2897 X2897 ⊖ order_998966684r_on_a field_a X2898 X2898 ⊕ ordinal_wo_rel2_b_a X2897 X2898 c_0_0->c_0_7

Input Dependencies

c_0_0

Assumptions

None

Conclusion

c_0_0

Dependents

c_0_7

Formula

! [X106: set_Product_prod_b_b,X4: set_Product_prod_a_a] :
  ( ( order_998966685r_on_b @ ( field_b @ X106 ) @ X106 )
 => ( ( order_998966684r_on_a @ ( field_a @ X4 ) @ X4 )
   => ( ordinal_wo_rel2_b_a @ X106 @ X4 ) ) )

Source

file('/home/yan/atp/benchmarks/isa/deeper/B-mesh-th0/problems/HOL-Cardinals/0009_Ordinal_Arithmetic/prob_00955_041225.p',fact_85_wo__rel2_Ointro)