Proof Step: c_0_235

name: c_0_235 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_0 c_0_0 c_0_207 ⊖ x = zero_zero_real c_0_0->c_0_207 c_0_4 ⊖ zero_zero_real = numeral_numeral_real X11 c_0_4->c_0_207 c_0_5 c_0_5 c_0_204 ⊕ ord_less_eq_real powr_real X2 zero_zero_real one_one_real ⊕ X4 = zero_zero_real ⊖ ord_less_eq_real zero_zero_real X2 ⊖ ord_less_eq_real X2 X4 c_0_5->c_0_204 c_0_6 ⊕ powr_real powr_real X4 X6 X17 = powr_real X4 times_times_real X6 X17 c_0_102 ⊕ powr_real powr_real X2 X4 X6 = powr_real X2 times_times_real X4 X6 c_0_6->c_0_102 c_0_7 ⊕ times_times_real X6 zero_zero_real = zero_zero_real c_0_103 ⊕ times_times_real X2 zero_zero_real = zero_zero_real c_0_7->c_0_103 c_0_15 c_0_15 c_0_15->c_0_204 c_0_16 ⊕ ord_less_eq_real X6 X6 c_0_16->c_0_204 c_0_25 ⊕ ord_less_eq_real zero_zero_real powr_real X4 X16 c_0_206 ⊕ ord_less_eq_real zero_zero_real powr_real X2 X4 c_0_25->c_0_206 c_0_26 ⊕ x = powr_real numeral_numeral_real bit0 one log numeral_numeral_real bit0 one x c_0_26->c_0_207 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_205 ⊕ 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_205 c_0_235 ⊕ ord_less_eq_real powr_real numeral_numeral_real bit0 one zero_zero_real one_one_real c_0_204->c_0_235 c_0_205->c_0_235 c_0_102->c_0_235 c_0_103->c_0_235 c_0_206->c_0_235 c_0_207->c_0_235 c_0_261 ⊕ powr_real numeral_numeral_real bit0 one zero_zero_real = one_one_real c_0_235->c_0_261

Input Dependencies

c_0_0 c_0_4 c_0_5 c_0_6 c_0_7 c_0_15 c_0_16 c_0_25 c_0_26 c_0_31

Assumptions

c_0_204 c_0_205 c_0_102 c_0_103 c_0_206 c_0_207

Conclusion

c_0_235

Dependents

c_0_261

Formula

ord_less_eq_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ zero_zero_real ) @ one_one_real

Source

inference(evalgc,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_102]),c_0_103]),c_0_206])]),c_0_207])])