Proof Step: c_0_292

name: c_0_292 syntax: thf role: negated_conjecture inference: evalgc

Proof State Overview

proof_step c_0_33 ⊕ ord_less_eq_real zero_zero_real sin_real divide_divide_real pi semiri2110766477t_real n c_0_268 ⊖ ord_less_eq_real zero_zero_real sin_real divide_divide_real pi semiri2110766477t_real n c_0_33->c_0_268 c_0_34 c_0_34 c_0_269 ⊕ ord_less_eq_real zero_zero_real sin_real X1 ⊖ ord_less_eq_real X1 pi ⊖ ord_less_eq_real zero_zero_real X1 c_0_34->c_0_269 c_0_292 ⊖ ord_less_eq_real divide_divide_real pi semiri2110766477t_real n pi ⊖ ord_less_eq_real zero_zero_real divide_divide_real pi semiri2110766477t_real n c_0_268->c_0_292 c_0_269->c_0_292 c_0_310 ⊖ ord_less_eq_real zero_zero_real divide_divide_real pi semiri2110766477t_real n ⊖ ord_less_eq_real semiri2110766477t_real n zero_zero_real c_0_292->c_0_310 c_0_323 ⊕ $false c_0_292->c_0_323

Input Dependencies

c_0_33 c_0_34

Assumptions

c_0_268 c_0_269

Conclusion

c_0_292

Dependents

c_0_310 c_0_323

Formula

( ~ ( ord_less_eq_real @ ( divide_divide_real @ pi @ ( semiri2110766477t_real @ n ) ) @ pi )
| ~ ( ord_less_eq_real @ zero_zero_real @ ( divide_divide_real @ pi @ ( semiri2110766477t_real @ n ) ) ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269])])