Proof Step: c_0_195

name: c_0_195 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_20 c_0_20 c_0_160 ⊕ ord_less_eq_int X1 archim1031974863r_real X2 ⊖ ord_less_eq_real ring_1_of_int_real X1 X2 c_0_20->c_0_160 c_0_195 ⊕ ord_less_eq_int X1 archim1031974863r_real X2 ⊖ ord_less_eq_real ring_1_of_int_real X1 X2 c_0_160->c_0_195 c_0_229 ⊖ ord_less_eq_int archim1031974863r_real X2 zero_zero_int ⊖ ord_less_eq_real one_one_real X2 c_0_195->c_0_229

Input Dependencies

c_0_20

Assumptions

c_0_160

Conclusion

c_0_195

Dependents

c_0_229

Formula

! [X1: int,X2: real] :
  ( ( ord_less_eq_int @ X1 @ ( archim1031974863r_real @ X2 ) )
  | ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ X1 ) @ X2 ) )

Source

inference(evalgc,[status(thm)],[c_0_160])