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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, 6,  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.ordering.less_eq_add_right_strong
2instantiation28, 9, 7  ⊢  
  : , : , :
3instantiation28, 9, 8,  ⊢  
  : , : , :
4instantiation28, 9, 10  ⊢  
  : , : , :
5instantiation11, 19, 20, 17,  ⊢  
  : , : , :
6instantiation12, 13  ⊢  
  :
7instantiation28, 15, 19  ⊢  
  : , : , :
8instantiation28, 15, 14,  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
10instantiation28, 15, 23  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
12theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
13theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
14instantiation28, 16, 17,  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
16instantiation18, 19, 20  ⊢  
  : , :
17assumption  ⊢  
18theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
19instantiation21, 22, 23  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
21theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
22instantiation24, 25  ⊢  
  :
23instantiation28, 26, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.negation.int_closure
25instantiation28, 29, 30  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
30assumption  ⊢