Proof Step: c_0_37

name: c_0_37 syntax: thf role: axiom file: '/home/yan/atp/benchmarks/isa/deeper/B-mesh-th0/problems/HOL/0112_Transcendental/prob_04159_148409.p' file node: fact_277_mult__right__mono

Proof State Overview

proof_step c_0_37 c_0_37 c_0_184 ⊖ ord_less_eq_real X2483 X2484 ⊖ ord_less_eq_real zero_zero_real X2485 ⊕ ord_less_eq_real times_times_real X2483 X2485 times_times_real X2484 X2485 c_0_37->c_0_184

Input Dependencies

c_0_37

Assumptions

None

Conclusion

c_0_37

Dependents

c_0_184

Formula

! [X11: real,X15: real,X40: real] :
  ( ( ord_less_eq_real @ X11 @ X15 )
 => ( ( ord_less_eq_real @ zero_zero_real @ X40 )
   => ( ord_less_eq_real @ ( times_times_real @ X11 @ X40 ) @ ( times_times_real @ X15 @ X40 ) ) ) )

Source

file('/home/yan/atp/benchmarks/isa/deeper/B-mesh-th0/problems/HOL/0112_Transcendental/prob_04159_148409.p',fact_277_mult__right__mono)