Proof Step: c_0_131

name: c_0_131 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_20 c_0_20 c_0_109 c_0_109 c_0_20->c_0_109 c_0_131 ⊕ ord_less_eq_int X1 archim1031974863r_real X2 ⊖ ord_less_eq_real ring_1_of_int_real X1 X2 c_0_109->c_0_131 c_0_160 ⊕ ord_less_eq_int X1 archim1031974863r_real X2 ⊖ ord_less_eq_real ring_1_of_int_real X1 X2 c_0_131->c_0_160

Input Dependencies

c_0_20

Assumptions

c_0_109

Conclusion

c_0_131

Dependents

c_0_160

Formula

! [X1: int,X2: real] :
  ( ( ord_less_eq_int @ X1 @ ( archim1031974863r_real @ X2 ) )
  | ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ X1 ) @ X2 ) )

Source

inference(split_conjunct,[status(thm)],[c_0_109])