Proof Step: c_0_321

name: c_0_321 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_50 c_0_50 c_0_308 ⊕ ord_less_eq_int zero_zero_int X1 ⊖ ord_less_eq_real zero_zero_real ring_1_of_int_real X1 c_0_50->c_0_308 c_0_321 ⊕ ord_less_eq_int zero_zero_int X1 ⊖ ord_less_eq_real zero_zero_real ring_1_of_int_real X1 c_0_308->c_0_321 c_0_327 ⊕ $false c_0_321->c_0_327

Input Dependencies

c_0_50

Assumptions

c_0_308

Conclusion

c_0_321

Dependents

c_0_327

Formula

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

Source

inference(evalgc,[status(thm)],[c_0_308])