Proof Step: c_0_67

name: c_0_67 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_2 ⊕ powr_real numeral_numeral_real X45 numeral_numeral_real X11 = power_power_real numeral_numeral_real X45 numeral_numeral_nat X11 c_0_58 ⊕ powr_real numeral_numeral_real X3515 numeral_numeral_real X3516 = power_power_real numeral_numeral_real X3515 numeral_numeral_nat X3516 c_0_2->c_0_58 c_0_67 ⊕ powr_real numeral_numeral_real X8 numeral_numeral_real X11 = power_power_real numeral_numeral_real X8 numeral_numeral_nat X11 c_0_58->c_0_67 c_0_79 ⊕ power_power_real numeral_numeral_real X8 numeral_numeral_nat X11 = powr_real numeral_numeral_real X8 numeral_numeral_real X11 c_0_67->c_0_79

Input Dependencies

c_0_2

Assumptions

c_0_58

Conclusion

c_0_67

Dependents

c_0_79

Formula

! [X8: num,X11: num] :
  ( ( powr_real @ ( numeral_numeral_real @ X8 ) @ ( numeral_numeral_real @ X11 ) )
  = ( power_power_real @ ( numeral_numeral_real @ X8 ) @ ( numeral_numeral_nat @ X11 ) ) )

Source

inference(split_conjunct,[status(thm)],[c_0_58])