Proof Step: c_0_296

name: c_0_296 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_12 ⊕ times_times_real X6 one_one_real = X6 c_0_156 ⊕ times_times_real X2 one_one_real = X2 c_0_12->c_0_156 c_0_42 c_0_42 c_0_273 ⊕ ord_less_eq_real X2 X4 ⊖ ord_less_eq_real times_times_real X6 X2 times_times_real X6 X4 ⊖ ord_less_real zero_zero_real X6 c_0_42->c_0_273 c_0_296 ⊕ ord_less_eq_real one_one_real X2 ⊖ ord_less_eq_real X4 times_times_real X4 X2 ⊖ ord_less_real zero_zero_real X4 c_0_273->c_0_296 c_0_156->c_0_296 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_296->c_0_314

Input Dependencies

c_0_12 c_0_42

Assumptions

c_0_273 c_0_156

Conclusion

c_0_296

Dependents

c_0_314

Formula

! [X2: real,X4: real] :
  ( ( ord_less_eq_real @ one_one_real @ X2 )
  | ~ ( ord_less_eq_real @ X4 @ ( times_times_real @ X4 @ X2 ) )
  | ~ ( ord_less_real @ zero_zero_real @ X4 ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_156])])