Proof Step: c_0_284

name: c_0_284 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_9 c_0_9 c_0_127 ⊕ ord_less_eq_real X2 X4 ⊖ ord_less_eq_real X2 X6 ⊖ ord_less_eq_real X6 X4 c_0_9->c_0_127 c_0_23 ⊕ ord_less_eq_real ring_1_of_int_real archim1031974863r_real X4 X4 c_0_202 ⊕ ord_less_eq_real ring_1_of_int_real archim1031974863r_real X2 X2 c_0_23->c_0_202 c_0_284 ⊕ ord_less_eq_real ring_1_of_int_real archim1031974863r_real X2 X4 ⊖ ord_less_eq_real X2 X4 c_0_127->c_0_284 c_0_202->c_0_284 c_0_305 ⊖ ord_less_eq_int one_one_int archim1031974863r_real X2 ⊖ ord_less_eq_real X2 zero_zero_real c_0_284->c_0_305

Input Dependencies

c_0_9 c_0_23

Assumptions

c_0_127 c_0_202

Conclusion

c_0_284

Dependents

c_0_305

Formula

! [X2: real,X4: real] :
  ( ( ord_less_eq_real @ ( ring_1_of_int_real @ ( archim1031974863r_real @ X2 ) ) @ X4 )
  | ~ ( ord_less_eq_real @ X2 @ X4 ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_202])])