Proof Step: c_0_227

name: c_0_227 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_46 ⊕ ring_1_of_int_real times_times_int X31 X5 = times_times_real ring_1_of_int_real X31 ring_1_of_int_real X5 c_0_192 ⊕ ring_1_of_int_real times_times_int X2277 X2278 = times_times_real ring_1_of_int_real X2277 ring_1_of_int_real X2278 c_0_46->c_0_192 c_0_227 ⊕ ring_1_of_int_real times_times_int X1 X3 = times_times_real ring_1_of_int_real X1 ring_1_of_int_real X3 c_0_192->c_0_227 c_0_256 ⊕ times_times_real ring_1_of_int_real X1 ring_1_of_int_real X3 = ring_1_of_int_real times_times_int X1 X3 c_0_227->c_0_256

Input Dependencies

c_0_46

Assumptions

c_0_192

Conclusion

c_0_227

Dependents

c_0_256

Formula

! [X1: int,X3: int] :
  ( ( ring_1_of_int_real @ ( times_times_int @ X1 @ X3 ) )
  = ( times_times_real @ ( ring_1_of_int_real @ X1 ) @ ( ring_1_of_int_real @ X3 ) ) )

Source

inference(split_conjunct,[status(thm)],[c_0_192])