Proof Step: c_0_60

name: c_0_60 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_1 c_0_1 c_0_57 c_0_57 c_0_1->c_0_57 c_0_60 ⊕ X1 = esk1_0 ⊖ ord_less_eq_real zero_zero_real X1 ⊖ ord_less_eq_real X1 numeral_numeral_real bit0 one ⊖ cos_real X1 = zero_zero_real c_0_57->c_0_60 c_0_67 ⊕ X1 = esk1_0 ⊖ cos_real X1 = zero_zero_real ⊖ ord_less_eq_real zero_zero_real X1 ⊖ ord_less_eq_real X1 numeral_numeral_real bit0 one c_0_60->c_0_67

Input Dependencies

c_0_1

Assumptions

c_0_57

Conclusion

c_0_60

Dependents

c_0_67

Formula

! [X1: real] :
  ( ( X1 = esk1_0 )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X1 )
  | ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) )
  | ( ( cos_real @ X1 )
   != zero_zero_real ) )

Source

inference(split_conjunct,[status(thm)],[c_0_57])