Proof Step: c_0_229

name: c_0_229 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_9 c_0_9 c_0_194 ⊖ ord_less_eq_int one_one_int X1 ⊖ ord_less_eq_int X1 zero_zero_int c_0_9->c_0_194 c_0_10 c_0_10 c_0_10->c_0_194 c_0_13 c_0_13 c_0_13->c_0_194 c_0_14 ⊖ ord_less_eq_real one_one_real zero_zero_real c_0_14->c_0_194 c_0_20 c_0_20 c_0_195 ⊕ ord_less_eq_int X1 archim1031974863r_real X2 ⊖ ord_less_eq_real ring_1_of_int_real X1 X2 c_0_20->c_0_195 c_0_28 ⊕ ring_1_of_int_real one_one_int = one_one_real c_0_196 ⊕ ring_1_of_int_real one_one_int = one_one_real c_0_28->c_0_196 c_0_229 ⊖ ord_less_eq_int archim1031974863r_real X2 zero_zero_int ⊖ ord_less_eq_real one_one_real X2 c_0_194->c_0_229 c_0_195->c_0_229 c_0_196->c_0_229 c_0_258 ⊖ ord_less_eq_real one_one_real X2 ⊖ ord_less_eq_real X2 zero_zero_real c_0_229->c_0_258

Input Dependencies

c_0_9 c_0_10 c_0_13 c_0_14 c_0_20 c_0_28

Assumptions

c_0_194 c_0_195 c_0_196

Conclusion

c_0_229

Dependents

c_0_258

Formula

! [X2: real] :
  ( ~ ( ord_less_eq_int @ ( archim1031974863r_real @ X2 ) @ zero_zero_int )
  | ~ ( ord_less_eq_real @ one_one_real @ X2 ) )

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196])])