Proof Step: c_0_323

name: c_0_323 syntax: thf role: plain inference: cdclpropres

Proof State Overview

proof_step c_0_0 ⊕ divide_divide_real pi numeral_numeral_real bit0 one = the_real ? c_0_320 ⊖ semiri2110766477t_real n = zero_zero_real c_0_0->c_0_320 c_0_1 c_0_1 c_0_1->c_0_320 c_0_2 ⊕ pi = times_times_real numeral_numeral_real bit0 one the_real ? c_0_2->c_0_320 c_0_3 ⊕ ord_less_eq_real divide_divide_real pi numeral_numeral_real bit0 one numeral_numeral_real bit0 one c_0_3->c_0_320 c_0_4 ⊕ cos_real divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_4->c_0_320 c_0_5 ⊕ ord_less_eq_real zero_zero_real divide_divide_real pi numeral_numeral_real bit0 one c_0_5->c_0_320 c_0_6 ⊕ times_times_real = ? c_0_6->c_0_320 c_0_7 c_0_7 c_0_312 ⊕ semiri2110766477t_real times_times_nat X2 X2 = zero_zero_real ⊕ ord_less_eq_real divide_divide_real X1 semiri2110766477t_real X2 X1 ⊖ ord_less_eq_real zero_zero_real divide_divide_real X1 semiri2110766477t_real times_times_nat X2 X2 ⊖ ord_less_eq_real semiri2110766477t_real X2 semiri2110766477t_real times_times_nat X2 X2 c_0_7->c_0_312 c_0_7->c_0_320 c_0_8 ⊕ divide_divide_real X11 divide_divide_real X15 X40 = divide_divide_real times_times_real X11 X40 X15 c_0_8->c_0_312 c_0_313 ⊕ ord_less_eq_real semiri2110766477t_real X2 zero_zero_real ⊕ ord_less_eq_real zero_zero_real divide_divide_real X1 semiri2110766477t_real times_times_nat X2 X2 ⊖ ord_less_eq_real zero_zero_real divide_divide_real X1 semiri2110766477t_real X2 c_0_8->c_0_313 c_0_314 ⊕ semiri2110766477t_real X2 = zero_zero_real ⊕ ord_less_eq_real zero_zero_real divide_divide_real X1 semiri2110766477t_real X7 ⊖ ord_less_eq_real zero_zero_real divide_divide_real semiri2110766477t_real times_times_nat X2 X7 X1 c_0_8->c_0_314 c_0_315 ⊕ ord_less_eq_real zero_zero_real divide_divide_real semiri2110766477t_real times_times_nat X2 X7 X1 ⊖ ord_less_eq_real zero_zero_real X1 c_0_8->c_0_315 c_0_8->c_0_320 c_0_9 ⊕ times_times_real X11 divide_divide_real X15 X40 = divide_divide_real times_times_real X11 X15 X40 c_0_9->c_0_312 c_0_9->c_0_313 c_0_9->c_0_314 c_0_9->c_0_315 c_0_9->c_0_320 c_0_10 c_0_10 c_0_10->c_0_320 c_0_11 ⊖ divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_11->c_0_320 c_0_12 ⊕ times_times_real X11 uminus_uminus_real X15 = uminus_uminus_real times_times_real X11 X15 c_0_12->c_0_320 c_0_13 c_0_13 c_0_318 ⊕ semiri2110766477t_real X2 = zero_zero_real ⊕ semiri2110766477t_real X7 = zero_zero_real ⊖ semiri2110766477t_real times_times_nat X7 X2 = zero_zero_real c_0_13->c_0_318 c_0_13->c_0_320 c_0_14 ⊕ times_times_real X15 times_times_real X11 X40 = times_times_real X11 times_times_real X15 X40 c_0_14->c_0_320 c_0_15 ⊕ times_times_real uminus_uminus_real X11 X15 = uminus_uminus_real times_times_real X11 X15 c_0_15->c_0_320 c_0_16 ⊕ divide_divide_real minus_minus_real X11 X15 X40 = minus_minus_real divide_divide_real X11 X40 divide_divide_real X15 X40 c_0_16->c_0_320 c_0_17 ⊕ divide_divide_real zero_zero_real X11 = zero_zero_real c_0_17->c_0_320 c_0_18 ⊕ minus_minus_real zero_zero_real X11 = uminus_uminus_real X11 c_0_18->c_0_320 c_0_19 ⊕ divide_divide_real times_times_real X690 X11 times_times_real X690 X690 = divide_divide_real X11 X690 c_0_19->c_0_312 c_0_19->c_0_313 c_0_19->c_0_320 c_0_20 ⊕ uminus_uminus_real uminus_uminus_real X11 = X11 c_0_20->c_0_320 c_0_21 ⊖ zero_zero_real = numeral_numeral_real X54 c_0_21->c_0_320 c_0_22 ⊕ sin_real plus_plus_real pi X1 = uminus_uminus_real sin_real X1 c_0_22->c_0_320 c_0_23 ⊕ plus_plus_real X11 uminus_uminus_real X15 = minus_minus_real X11 X15 c_0_23->c_0_320 c_0_24 ⊕ sin_real minus_minus_real pi X1 = sin_real X1 c_0_24->c_0_320 c_0_25 ⊖ pi = zero_zero_real c_0_25->c_0_320 c_0_26 ⊕ divide_divide_real X11 one_one_real = X11 c_0_26->c_0_320 c_0_27 c_0_27 c_0_27->c_0_320 c_0_28 ⊕ divide_divide_real divide_divide_real X11 X15 X40 = divide_divide_real X11 times_times_real X40 X15 c_0_28->c_0_320 c_0_29 c_0_29 c_0_29->c_0_320 c_0_30 c_0_30 c_0_30->c_0_320 c_0_31 ⊕ times_times_real X11 zero_zero_real = zero_zero_real c_0_31->c_0_320 c_0_32 c_0_32 c_0_32->c_0_320 c_0_33 ⊕ ord_less_eq_real zero_zero_real sin_real divide_divide_real pi semiri2110766477t_real n 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_33->c_0_292 c_0_33->c_0_320 c_0_321 ⊖ ord_less_eq_real semiri2110766477t_real n zero_zero_real c_0_33->c_0_321 c_0_34 c_0_34 c_0_34->c_0_292 c_0_34->c_0_321 c_0_35 c_0_35 c_0_35->c_0_321 c_0_36 c_0_36 c_0_36->c_0_321 c_0_37 c_0_37 c_0_37->c_0_312 c_0_38 ⊕ semiri2110766477t_real times_times_nat X14 X23 = times_times_real semiri2110766477t_real X14 semiri2110766477t_real X23 c_0_38->c_0_312 c_0_38->c_0_313 c_0_38->c_0_314 c_0_38->c_0_315 c_0_316 ⊕ ord_less_eq_real semiri2110766477t_real X2 semiri2110766477t_real times_times_nat X2 X7 ⊖ ord_less_eq_real one_one_real semiri2110766477t_real X7 c_0_38->c_0_316 c_0_38->c_0_318 c_0_39 c_0_39 c_0_39->c_0_314 c_0_39->c_0_315 c_0_39->c_0_321 c_0_40 c_0_40 c_0_40->c_0_314 c_0_41 c_0_41 c_0_41->c_0_316 c_0_42 ⊕ times_times_real X11 one_one_real = X11 c_0_42->c_0_316 c_0_43 c_0_43 c_0_317 ⊕ ord_less_nat X2 one_one_nat ⊕ ord_less_eq_real one_one_real semiri2110766477t_real X2 c_0_43->c_0_317 c_0_44 c_0_44 c_0_44->c_0_317 c_0_45 ⊖ one_one_real = zero_zero_real c_0_45->c_0_320 c_0_46 ⊕ times_times_real divide_divide_real X15 X40 X11 = divide_divide_real times_times_real X15 X11 X40 c_0_46->c_0_320 c_0_47 ⊕ times_times_real one_one_real X11 = X11 c_0_47->c_0_320 c_0_48 c_0_48 c_0_48->c_0_313 c_0_49 ⊕ ord_less_eq_real zero_zero_real semiri2110766477t_real X23 c_0_49->c_0_314 c_0_49->c_0_315 c_0_49->c_0_316 c_0_49->c_0_321 c_0_50 ⊕ semiri2110766477t_real one_one_nat = one_one_real c_0_50->c_0_317 c_0_51 ⊕ sin_real zero_zero_real = zero_zero_real c_0_51->c_0_320 c_0_52 ⊕ ord_less_eq_real X11 X11 c_0_52->c_0_320 c_0_53 ⊕ ord_less_eq_real zero_zero_real pi c_0_53->c_0_321 c_0_294 ⊕ ord_less_eq_real zero_zero_real pi c_0_53->c_0_294 c_0_54 c_0_54 c_0_319 ⊕ X2 = zero_zero_nat ⊖ ord_less_nat X2 one_one_nat c_0_54->c_0_319 c_0_55 ⊖ n = zero_zero_nat c_0_322 ⊖ n = zero_zero_nat c_0_55->c_0_322 c_0_323 ⊕ $false c_0_312->c_0_323 c_0_313->c_0_323 c_0_314->c_0_323 c_0_315->c_0_323 c_0_316->c_0_323 c_0_317->c_0_323 c_0_318->c_0_323 c_0_292->c_0_323 c_0_319->c_0_323 c_0_320->c_0_323 c_0_321->c_0_323 c_0_322->c_0_323 c_0_294->c_0_323

Input Dependencies

c_0_0 c_0_1 c_0_2 c_0_3 c_0_4 c_0_5 c_0_6 c_0_7 c_0_8 c_0_9 c_0_10 c_0_11 c_0_12 c_0_13 c_0_14 c_0_15 c_0_16 c_0_17 c_0_18 c_0_19 c_0_20 c_0_21 c_0_22 c_0_23 c_0_24 c_0_25 c_0_26 c_0_27 c_0_28 c_0_29 c_0_30 c_0_31 c_0_32 c_0_33 c_0_34 c_0_35 c_0_36 c_0_37 c_0_38 c_0_39 c_0_40 c_0_41 c_0_42 c_0_43 c_0_44 c_0_45 c_0_46 c_0_47 c_0_48 c_0_49 c_0_50 c_0_51 c_0_52 c_0_53 c_0_54 c_0_55

Assumptions

c_0_312 c_0_313 c_0_314 c_0_315 c_0_316 c_0_317 c_0_318 c_0_292 c_0_319 c_0_320 c_0_321 c_0_322 c_0_294

Conclusion

c_0_323

Dependents

None

Formula

$false

Source

inference(cdclpropres,[status(thm)],[c_0_312,c_0_313,c_0_314,c_0_315,c_0_316,c_0_317,c_0_318,c_0_292,c_0_319,c_0_320,c_0_321,c_0_322,c_0_294])

Useful Info

[proof]