Proof Step: c_0_17

name: c_0_17 syntax: thf role: axiom file: '/home/yan/atp/benchmarks/isa/deeper/B-mesh-th0/problems/HOL-Library/0131_Float/prob_00723_022817.p' file node: fact_2_round__down__def

Proof State Overview

proof_step c_0_17 ⊕ round_down = ? c_0_92 ⊕ round_down X2088 X2089 = times_times_real ring_1_of_int_real archim1031974863r_real times_times_real X2089 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X2088 powr_real numeral_numeral_real bit0 one uminus_uminus_real ring_1_of_int_real X2088 c_0_17->c_0_92

Input Dependencies

c_0_17

Assumptions

None

Conclusion

c_0_17

Dependents

c_0_92

Formula

( round_down
= ( ^ [X1: int,X2: real] : ( times_times_real @ ( ring_1_of_int_real @ ( archim1031974863r_real @ ( times_times_real @ X2 @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ X1 ) ) ) ) ) @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( uminus_uminus_real @ ( ring_1_of_int_real @ X1 ) ) ) ) ) )

Source

file('/home/yan/atp/benchmarks/isa/deeper/B-mesh-th0/problems/HOL-Library/0131_Float/prob_00723_022817.p',fact_2_round__down__def)