Proof Step: c_0_194

name: c_0_194 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_9 c_0_9 c_0_157 ⊕ ord_less_eq_real one_one_real X2 ⊖ ord_less_eq_real ring_1_of_int_real X1 X2 ⊖ ord_less_eq_int one_one_int X1 c_0_9->c_0_157 c_0_10 c_0_10 c_0_10->c_0_157 c_0_13 c_0_13 c_0_158 ⊕ ord_less_eq_real ring_1_of_int_real X1 zero_zero_real ⊖ ord_less_eq_int X1 zero_zero_int c_0_13->c_0_158 c_0_14 ⊖ ord_less_eq_real one_one_real zero_zero_real c_0_159 ⊖ ord_less_eq_real one_one_real zero_zero_real c_0_14->c_0_159 c_0_194 ⊖ ord_less_eq_int one_one_int X1 ⊖ ord_less_eq_int X1 zero_zero_int c_0_157->c_0_194 c_0_158->c_0_194 c_0_159->c_0_194 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

Input Dependencies

c_0_9 c_0_10 c_0_13 c_0_14

Assumptions

c_0_157 c_0_158 c_0_159

Conclusion

c_0_194

Dependents

c_0_229

Formula

! [X1: int] :
  ( ~ ( ord_less_eq_int @ one_one_int @ X1 )
  | ~ ( ord_less_eq_int @ X1 @ zero_zero_int ) )

Source

inference(evalgc,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159])])