logo

Show the Proof

In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
 step typerequirementsstatement
0instantiation1, 2, 3, 4, 5, , , , , , ,  ⊢  
  : , : , :
1reference27  ⊢  
2instantiation8, 6, 7, ,  ⊢  
  : , :
3instantiation8, 11, 10, ,  ⊢  
  : , :
4instantiation8, 12, 10, , ,  ⊢  
  : , :
5instantiation9, 10, 11, 12, 13, 14, , , , , ,  ⊢  
  : , : , :
6instantiation17, 29, 15,  ⊢  
  : , :
7instantiation37, 38, 16,  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
9theorem  ⊢  
 proveit.numbers.multiplication.strong_bound_via_left_factor_bound
10instantiation37, 38, 22,  ⊢  
  : , : , :
11instantiation17, 25, 29,  ⊢  
  : , :
12instantiation17, 28, 30,  ⊢  
  : , :
13instantiation18, 19, 20, , , , ,  ⊢  
  : , : , :
14instantiation21, 22,  ⊢  
  :
15instantiation37, 38, 23  ⊢  
  : , : , :
16instantiation32, 23, 33,  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
18axiom  ⊢  
 proveit.numbers.ordering.transitivity_less_less
19instantiation24, 29, 25, 28, 26, , ,  ⊢  
  : , : , :
20instantiation27, 28, 29, 30, 31, , ,  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
22instantiation32, 33, 34,  ⊢  
  : , :
23assumption  ⊢  
24theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
25instantiation37, 38, 34  ⊢  
  : , : , :
26assumption  ⊢  
27theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_right_term_bound
28instantiation37, 38, 35  ⊢  
  : , : , :
29instantiation37, 38, 36  ⊢  
  : , : , :
30instantiation37, 38, 39  ⊢  
  : , : , :
31assumption  ⊢  
32theorem  ⊢  
 proveit.numbers.addition.add_real_pos_closure_bin
33assumption  ⊢  
34assumption  ⊢  
35assumption  ⊢  
36assumption  ⊢  
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
39assumption  ⊢