Proof Step: c_0_230

name: c_0_230 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_21 c_0_21 c_0_197 ⊕ ord_less_eq_int archim1031974863r_real X2 archim1031974863r_real X4 ⊖ ord_less_eq_real X2 X4 c_0_21->c_0_197 c_0_29 ⊕ archim1031974863r_real zero_zero_real = zero_zero_int c_0_198 ⊕ archim1031974863r_real zero_zero_real = zero_zero_int c_0_29->c_0_198 c_0_230 ⊕ ord_less_eq_int archim1031974863r_real X2 zero_zero_int ⊖ ord_less_eq_real X2 zero_zero_real c_0_197->c_0_230 c_0_198->c_0_230 c_0_258 ⊖ ord_less_eq_real one_one_real X2 ⊖ ord_less_eq_real X2 zero_zero_real c_0_230->c_0_258

Input Dependencies

c_0_21 c_0_29

Assumptions

c_0_197 c_0_198

Conclusion

c_0_230

Dependents

c_0_258

Formula

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

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198])])