Proof Step: c_0_158

name: c_0_158 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_13 c_0_13 c_0_129 ⊕ 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_129 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_129->c_0_158 c_0_194 ⊖ ord_less_eq_int one_one_int X1 ⊖ ord_less_eq_int X1 zero_zero_int c_0_158->c_0_194

Input Dependencies

c_0_13

Assumptions

c_0_129

Conclusion

c_0_158

Dependents

c_0_194

Formula

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

Source

inference(evalgc,[status(thm)],[c_0_129])