Proof Step: c_0_233

name: c_0_233 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_22 c_0_22 c_0_200 ⊕ X2 = X4 ⊖ ord_less_eq_real X4 X2 ⊖ ord_less_eq_real X2 X4 c_0_22->c_0_200 c_0_23 ⊕ ord_less_eq_real ring_1_of_int_real archim1031974863r_real X4 X4 c_0_202 ⊕ ord_less_eq_real ring_1_of_int_real archim1031974863r_real X2 X2 c_0_23->c_0_202 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_201 ⊕ 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_201 c_0_233 ⊕ ring_1_of_int_real archim1031974863r_real powr_real numeral_numeral_real bit0 one zero_zero_real = powr_real numeral_numeral_real bit0 one zero_zero_real c_0_200->c_0_233 c_0_201->c_0_233 c_0_202->c_0_233 c_0_260 ⊕ ord_less_eq_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_233->c_0_260

Input Dependencies

c_0_22 c_0_23 c_0_30

Assumptions

c_0_200 c_0_201 c_0_202

Conclusion

c_0_233

Dependents

c_0_260

Formula

( ( ring_1_of_int_real @ ( archim1031974863r_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ zero_zero_real ) ) )
= ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ zero_zero_real ) )

Source

inference(evalgc,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202])])])