Proof Step: c_0_57

name: c_0_57 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_1 c_0_1 c_0_55 ⊖ ord_less_real zero_zero_real X3405 ⊕ powr_real X3405 semiri2110766477t_real X3406 = power_power_real X3405 X3406 c_0_1->c_0_55 c_0_57 ⊕ powr_real X2 semiri2110766477t_real X9 = power_power_real X2 X9 ⊖ ord_less_real zero_zero_real X2 c_0_55->c_0_57 c_0_66 ⊕ powr_real X2 semiri2110766477t_real X9 = power_power_real X2 X9 ⊖ ord_less_real zero_zero_real X2 c_0_57->c_0_66

Input Dependencies

c_0_1

Assumptions

c_0_55

Conclusion

c_0_57

Dependents

c_0_66

Formula

! [X9: nat,X2: real] :
  ( ( ( powr_real @ X2 @ ( semiri2110766477t_real @ X9 ) )
    = ( power_power_real @ X2 @ X9 ) )
  | ~ ( ord_less_real @ zero_zero_real @ X2 ) )

Source

inference(split_conjunct,[status(thm)],[c_0_55])