Proof Step: c_0_133

name: c_0_133 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_21 c_0_21 c_0_110 ⊖ ord_less_eq_real X2352 X2353 ⊕ ord_less_eq_int archim1031974863r_real X2352 archim1031974863r_real X2353 c_0_21->c_0_110 c_0_133 ⊕ ord_less_eq_int archim1031974863r_real X2 archim1031974863r_real X4 ⊖ ord_less_eq_real X2 X4 c_0_110->c_0_133 c_0_162 ⊕ ord_less_eq_int archim1031974863r_real X2 archim1031974863r_real X4 ⊖ ord_less_eq_real X2 X4 c_0_133->c_0_162

Input Dependencies

c_0_21

Assumptions

c_0_110

Conclusion

c_0_133

Dependents

c_0_162

Formula

! [X2: real,X4: real] :
  ( ( ord_less_eq_int @ ( archim1031974863r_real @ X2 ) @ ( archim1031974863r_real @ X4 ) )
  | ~ ( ord_less_eq_real @ X2 @ X4 ) )

Source

inference(split_conjunct,[status(thm)],[c_0_110])