Proof Step: c_0_156

name: c_0_156 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_12 ⊕ times_times_real X6 one_one_real = X6 c_0_126 ⊕ times_times_real X2 one_one_real = X2 c_0_12->c_0_126 c_0_156 ⊕ times_times_real X2 one_one_real = X2 c_0_126->c_0_156 c_0_188 ⊕ real_of_float float2 X1 zero_zero_int = ring_1_of_int_real X1 c_0_156->c_0_188 c_0_275 ⊕ round_down zero_zero_int X2 = ring_1_of_int_real archim1031974863r_real X2 c_0_156->c_0_275 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_156->c_0_296

Input Dependencies

c_0_12

Assumptions

c_0_126

Conclusion

c_0_156

Dependents

c_0_188 c_0_275 c_0_296

Formula

! [X2: real] :
  ( ( times_times_real @ X2 @ one_one_real )
  = X2 )

Source

inference(evalgc,[status(thm)],[c_0_126])