Proof Step: c_0_238

name: c_0_238 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_0 ⊕ divide_divide_real pi numeral_numeral_real bit0 one = the_real ? c_0_153 ⊕ times_times_real esk1_0 divide_divide_real pi esk1_0 = pi c_0_0->c_0_153 c_0_208 ⊖ divide_divide_real pi esk1_0 = zero_zero_real c_0_0->c_0_208 c_0_1 c_0_1 c_0_1->c_0_153 c_0_1->c_0_208 c_0_2 ⊕ pi = times_times_real numeral_numeral_real bit0 one the_real ? c_0_2->c_0_153 c_0_2->c_0_208 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_153 c_0_3->c_0_208 c_0_4 ⊕ cos_real divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_4->c_0_153 c_0_4->c_0_208 c_0_5 ⊕ ord_less_eq_real zero_zero_real divide_divide_real pi numeral_numeral_real bit0 one c_0_5->c_0_153 c_0_5->c_0_208 c_0_6 ⊕ times_times_real = ? c_0_6->c_0_153 c_0_6->c_0_208 c_0_7 c_0_7 c_0_7->c_0_153 c_0_7->c_0_208 c_0_8 ⊕ divide_divide_real X11 divide_divide_real X15 X40 = divide_divide_real times_times_real X11 X40 X15 c_0_206 ⊕ times_times_real X1 divide_divide_real X5 times_times_real X6 X5 = divide_divide_real X1 X6 ⊕ X5 = zero_zero_real c_0_8->c_0_206 c_0_8->c_0_153 c_0_8->c_0_208 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_206 c_0_9->c_0_153 c_0_9->c_0_208 c_0_10 c_0_10 c_0_10->c_0_153 c_0_10->c_0_208 c_0_11 ⊖ divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_11->c_0_153 c_0_11->c_0_208 c_0_21 ⊖ zero_zero_real = numeral_numeral_real X54 c_0_21->c_0_208 c_0_27 c_0_27 c_0_27->c_0_206 c_0_28 ⊕ divide_divide_real divide_divide_real X11 X15 X40 = divide_divide_real X11 times_times_real X40 X15 c_0_207 ⊕ divide_divide_real divide_divide_real X1 X5 X6 = divide_divide_real X1 times_times_real X6 X5 c_0_28->c_0_207 c_0_238 ⊕ times_times_real X1 divide_divide_real pi times_times_real pi esk1_0 = divide_divide_real X1 esk1_0 c_0_206->c_0_238 c_0_153->c_0_238 c_0_207->c_0_238 c_0_208->c_0_238 c_0_266 ⊕ divide_divide_real esk1_0 esk1_0 = divide_divide_real pi pi c_0_238->c_0_266

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_21 c_0_27 c_0_28

Assumptions

c_0_206 c_0_153 c_0_207 c_0_208

Conclusion

c_0_238

Dependents

c_0_266

Formula

! [X1: real] :
  ( ( times_times_real @ X1 @ ( divide_divide_real @ pi @ ( times_times_real @ pi @ esk1_0 ) ) )
  = ( divide_divide_real @ X1 @ esk1_0 ) )

Source

inference(evalgc,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_153]),c_0_207]),c_0_208])])