Proof Step: c_0_324

name: c_0_324 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_7 ⊕ times_times_real X6 zero_zero_real = zero_zero_real c_0_311 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 X2 c_0_7->c_0_311 c_0_33 ⊕ times_times_real = ? c_0_33->c_0_311 c_0_39 ⊕ times_times_real uminus_uminus_real X6 X17 = uminus_uminus_real times_times_real X6 X17 c_0_39->c_0_311 c_0_46 ⊕ ring_1_of_int_real times_times_int X31 X5 = times_times_real ring_1_of_int_real X31 ring_1_of_int_real X5 c_0_281 ⊕ times_times_real ring_1_of_int_real X1 ring_1_of_int_real X3 = ring_1_of_int_real times_times_int X1 X3 c_0_46->c_0_281 c_0_48 ⊕ ord_less_eq_real uminus_uminus_real times_times_real X214 X214 times_times_real X4 X4 c_0_48->c_0_311 c_0_49 ⊕ uminus_uminus_real zero_zero_real = zero_zero_real c_0_49->c_0_311 c_0_324 ⊕ ord_less_eq_real zero_zero_real ring_1_of_int_real times_times_int X1 X1 c_0_311->c_0_324 c_0_281->c_0_324 c_0_327 ⊕ $false c_0_324->c_0_327

Input Dependencies

c_0_7 c_0_33 c_0_39 c_0_46 c_0_48 c_0_49

Assumptions

c_0_311 c_0_281

Conclusion

c_0_324

Dependents

c_0_327

Formula

! [X1: int] : ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ ( times_times_int @ X1 @ X1 ) ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_281])])