Proof Step: c_0_327

name: c_0_327 syntax: thf role: plain inference: cdclpropres

Proof State Overview

proof_step c_0_0 c_0_0 c_0_314 ⊕ ord_less_eq_real one_one_real round_down X1 X2 ⊖ ord_less_eq_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 ring_1_of_int_real archim1031974863r_real times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 ⊖ ord_less_real zero_zero_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 c_0_0->c_0_314 c_0_319 ⊖ ord_less_eq_real times_times_real x powr_real numeral_numeral_real bit0 one ring_1_of_int_real p zero_zero_real c_0_0->c_0_319 c_0_1 c_0_1 c_0_1->c_0_314 c_0_2 ⊕ powr_real numeral_numeral_real X45 numeral_numeral_real X11 = power_power_real numeral_numeral_real X45 numeral_numeral_nat X11 c_0_2->c_0_314 c_0_3 ⊕ ord_less_real zero_zero_real numeral_numeral_real X11 c_0_3->c_0_314 c_0_4 ⊖ zero_zero_real = numeral_numeral_real X11 c_0_4->c_0_314 c_0_4->c_0_319 c_0_5 c_0_5 c_0_5->c_0_314 c_0_5->c_0_319 c_0_6 ⊕ powr_real powr_real X4 X6 X17 = powr_real X4 times_times_real X6 X17 c_0_6->c_0_314 c_0_6->c_0_319 c_0_7 ⊕ times_times_real X6 zero_zero_real = zero_zero_real c_0_7->c_0_314 c_0_7->c_0_319 c_0_324 ⊕ ord_less_eq_real zero_zero_real ring_1_of_int_real times_times_int X1 X1 c_0_7->c_0_324 c_0_8 ⊕ real_of_float float2 X793 X794 = times_times_real ring_1_of_int_real X793 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X794 c_0_313 ⊕ ord_less_eq_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 zero_zero_real ⊕ ord_less_float zero_zero_float float2 one_one_int X1 c_0_8->c_0_313 c_0_8->c_0_314 c_0_315 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 real_of_float float2 X1 X3 ⊖ ord_less_eq_real times_times_real ring_1_of_int_real X1 X2 zero_zero_real ⊖ ord_less_eq_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X3 zero_zero_real c_0_8->c_0_315 c_0_316 ⊕ ord_less_eq_real times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 zero_zero_real ⊕ ord_less_eq_real zero_zero_real ring_1_of_int_real X3 ⊖ ord_less_eq_real zero_zero_real times_times_real X2 real_of_float float2 X3 X1 c_0_8->c_0_316 c_0_320 ⊕ ord_less_real zero_zero_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 ⊖ ord_less_float zero_zero_float float2 one_one_int X1 c_0_8->c_0_320 c_0_9 c_0_9 c_0_9->c_0_319 c_0_10 c_0_10 c_0_10->c_0_319 c_0_11 ⊕ ring_1_of_int_real zero_zero_int = zero_zero_real c_0_11->c_0_314 c_0_12 ⊕ times_times_real X6 one_one_real = X6 c_0_12->c_0_314 c_0_13 c_0_13 c_0_13->c_0_319 c_0_14 ⊖ ord_less_eq_real one_one_real zero_zero_real c_0_14->c_0_319 c_0_15 c_0_15 c_0_15->c_0_319 c_0_16 ⊕ ord_less_eq_real X6 X6 c_0_16->c_0_319 c_0_17 ⊕ round_down = ? c_0_17->c_0_314 c_0_18 ⊕ ring_1_of_int_real uminus_uminus_int X5 = uminus_uminus_real ring_1_of_int_real X5 c_0_18->c_0_314 c_0_19 ⊕ float_of real_of_float X841 = X841 c_0_19->c_0_314 c_0_20 c_0_20 c_0_20->c_0_319 c_0_21 c_0_21 c_0_21->c_0_319 c_0_22 c_0_22 c_0_22->c_0_319 c_0_23 ⊕ ord_less_eq_real ring_1_of_int_real archim1031974863r_real X4 X4 c_0_23->c_0_319 c_0_24 c_0_24 c_0_24->c_0_319 c_0_25 ⊕ ord_less_eq_real zero_zero_real powr_real X4 X16 c_0_25->c_0_319 c_0_325 ⊕ ord_less_eq_real zero_zero_real x c_0_25->c_0_325 c_0_26 ⊕ x = powr_real numeral_numeral_real bit0 one log numeral_numeral_real bit0 one x c_0_26->c_0_319 c_0_26->c_0_325 c_0_27 ⊕ ord_less_float = ? c_0_27->c_0_313 c_0_27->c_0_320 c_0_28 ⊕ ring_1_of_int_real one_one_int = one_one_real c_0_28->c_0_313 c_0_28->c_0_319 c_0_28->c_0_320 c_0_29 ⊕ archim1031974863r_real zero_zero_real = zero_zero_int c_0_29->c_0_319 c_0_30 ⊕ ord_less_eq_real powr_real numeral_numeral_real bit0 one zero_zero_real ring_1_of_int_real archim1031974863r_real powr_real numeral_numeral_real bit0 one zero_zero_real c_0_30->c_0_319 c_0_31 ⊕ ord_less_eq_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real uminus_uminus_int p x c_0_31->c_0_319 c_0_32 ⊕ ord_less_eq_real one_one_real numeral_numeral_real X11 c_0_32->c_0_319 c_0_33 ⊕ times_times_real = ? c_0_33->c_0_316 c_0_33->c_0_324 c_0_34 c_0_34 c_0_34->c_0_313 c_0_35 ⊕ round_down X172 times_times_real X4 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X173 = times_times_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X173 round_down plus_plus_int X172 X173 X4 c_0_35->c_0_314 c_0_36 ⊕ plus_plus_int zero_zero_int X204 = X204 c_0_36->c_0_314 c_0_37 ⊕ uminus_uminus_int zero_zero_int = zero_zero_int c_0_37->c_0_314 c_0_38 ⊕ ord_less_eq_real ring_1_of_int_real archim1031974863r_real powr_real numeral_numeral_real bit0 one zero_zero_real ring_1_of_int_real archim1031974863r_real times_times_real x powr_real numeral_numeral_real bit0 one ring_1_of_int_real p c_0_38->c_0_319 c_0_39 ⊕ times_times_real uminus_uminus_real X6 X17 = uminus_uminus_real times_times_real X6 X17 c_0_39->c_0_324 c_0_40 ⊕ real_of_float zero_zero_float = zero_zero_real c_0_40->c_0_313 c_0_40->c_0_320 c_0_41 ⊕ times_times_real one_one_real X6 = X6 c_0_41->c_0_313 c_0_41->c_0_320 c_0_42 c_0_42 c_0_42->c_0_314 c_0_43 c_0_43 c_0_43->c_0_315 c_0_43->c_0_316 c_0_317 ⊕ ord_less_eq_real times_times_real ring_1_of_int_real X1 X2 zero_zero_real ⊕ ord_less_eq_real zero_zero_real ring_1_of_int_real X3 ⊖ ord_less_eq_real zero_zero_real times_times_real ring_1_of_int_real times_times_int X1 X3 X2 c_0_43->c_0_317 c_0_44 ⊕ times_times_real times_times_real X6 X17 X18 = times_times_real X6 times_times_real X17 X18 c_0_44->c_0_315 c_0_44->c_0_316 c_0_44->c_0_317 c_0_318 ⊕ ord_less_eq_real zero_zero_real times_times_real ring_1_of_int_real times_times_int X1 X3 X2 ⊖ ord_less_eq_real zero_zero_real ring_1_of_int_real times_times_int X1 X3 ⊖ ord_less_eq_real zero_zero_real X2 c_0_44->c_0_318 c_0_45 ⊕ times_times_real X17 times_times_real X6 X18 = times_times_real X6 times_times_real X17 X18 c_0_45->c_0_315 c_0_45->c_0_317 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_46->c_0_317 c_0_46->c_0_318 c_0_46->c_0_324 c_0_47 c_0_47 c_0_47->c_0_318 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_324 c_0_49 ⊕ uminus_uminus_real zero_zero_real = zero_zero_real c_0_49->c_0_324 c_0_50 c_0_50 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_50->c_0_321 c_0_51 ⊖ ord_less_eq_int zero_zero_int p c_0_322 ⊖ ord_less_eq_int zero_zero_int p c_0_51->c_0_322 c_0_52 ⊕ ord_less_eq_real one_one_real round_down p x c_0_323 ⊖ ord_less_eq_real one_one_real round_down p x c_0_52->c_0_323 c_0_53 ⊕ ord_less_eq_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real p ring_1_of_int_real archim1031974863r_real times_times_real x powr_real numeral_numeral_real bit0 one ring_1_of_int_real p c_0_326 ⊕ ord_less_eq_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real p ring_1_of_int_real archim1031974863r_real times_times_real x powr_real numeral_numeral_real bit0 one ring_1_of_int_real p c_0_53->c_0_326 c_0_327 ⊕ $false c_0_313->c_0_327 c_0_314->c_0_327 c_0_315->c_0_327 c_0_316->c_0_327 c_0_317->c_0_327 c_0_318->c_0_327 c_0_319->c_0_327 c_0_320->c_0_327 c_0_321->c_0_327 c_0_322->c_0_327 c_0_323->c_0_327 c_0_324->c_0_327 c_0_325->c_0_327 c_0_326->c_0_327

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

Assumptions

c_0_313 c_0_314 c_0_315 c_0_316 c_0_317 c_0_318 c_0_319 c_0_320 c_0_321 c_0_322 c_0_323 c_0_324 c_0_325 c_0_326

Conclusion

c_0_327

Dependents

None

Formula

$false

Source

inference(cdclpropres,[status(thm)],[c_0_313,c_0_314,c_0_315,c_0_316,c_0_317,c_0_318,c_0_319,c_0_320,c_0_321,c_0_322,c_0_323,c_0_324,c_0_325,c_0_326])

Useful Info

[proof]