Proof Step: c_0_260

name: c_0_260 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_22 c_0_22 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_22->c_0_233 c_0_23 ⊕ ord_less_eq_real ring_1_of_int_real archim1031974863r_real X4 X4 c_0_23->c_0_233 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_233 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_232 ⊕ 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_232 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_232->c_0_260 c_0_233->c_0_260 c_0_286 ⊕ ord_less_eq_real one_one_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_260->c_0_286

Input Dependencies

c_0_22 c_0_23 c_0_30 c_0_38

Assumptions

c_0_232 c_0_233

Conclusion

c_0_260

Dependents

c_0_286

Formula

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 ) ) ) ) )

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_233])])