Proof Step: c_0_283

name: c_0_283 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_9 c_0_9 c_0_258 ⊖ ord_less_eq_real one_one_real X2 ⊖ ord_less_eq_real X2 zero_zero_real c_0_9->c_0_258 c_0_10 c_0_10 c_0_10->c_0_258 c_0_128 ⊕ ord_less_eq_real one_one_real ring_1_of_int_real X1 ⊖ ord_less_eq_int one_one_int X1 c_0_10->c_0_128 c_0_13 c_0_13 c_0_13->c_0_258 c_0_14 ⊖ ord_less_eq_real one_one_real zero_zero_real c_0_14->c_0_258 c_0_20 c_0_20 c_0_20->c_0_258 c_0_21 c_0_21 c_0_21->c_0_258 c_0_28 ⊕ ring_1_of_int_real one_one_int = one_one_real c_0_28->c_0_258 c_0_29 ⊕ archim1031974863r_real zero_zero_real = zero_zero_int c_0_29->c_0_258 c_0_283 ⊖ ord_less_eq_real ring_1_of_int_real X1 zero_zero_real ⊖ ord_less_eq_int one_one_int X1 c_0_258->c_0_283 c_0_128->c_0_283 c_0_305 ⊖ ord_less_eq_int one_one_int archim1031974863r_real X2 ⊖ ord_less_eq_real X2 zero_zero_real c_0_283->c_0_305

Input Dependencies

c_0_9 c_0_10 c_0_13 c_0_14 c_0_20 c_0_21 c_0_28 c_0_29

Assumptions

c_0_258 c_0_128

Conclusion

c_0_283

Dependents

c_0_305

Formula

! [X1: int] :
  ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ X1 ) @ zero_zero_real )
  | ~ ( ord_less_eq_int @ one_one_int @ X1 ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_128])])