Proof Step: c_0_58

name: c_0_58 syntax: thf role: plain inference: variable_rename

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

Input Dependencies

c_0_2

Assumptions

c_0_2

Conclusion

c_0_58

Dependents

c_0_67

Formula

! [X3515: num,X3516: num] :
  ( ( powr_real @ ( numeral_numeral_real @ X3515 ) @ ( numeral_numeral_real @ X3516 ) )
  = ( power_power_real @ ( numeral_numeral_real @ X3515 ) @ ( numeral_numeral_nat @ X3516 ) ) )

Source

inference(variable_rename,[status(thm)],[c_0_2])