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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  ⊢  
  : , : , :
1reference27  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
3instantiation27, 4, 5  ⊢  
  : , : , :
4instantiation6, 7, 11  ⊢  
  : , :
5assumption  ⊢  
6theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
7instantiation21, 8, 9  ⊢  
  : , :
8instantiation10, 11  ⊢  
  :
9instantiation27, 12, 13  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.negation.int_closure
11instantiation27, 26, 14  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
13theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
14instantiation15, 16, 17  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.exponentiation.exp_natpos_closure
16theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
17instantiation18, 19, 20  ⊢  
  :
18theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
19instantiation21, 22, 23  ⊢  
  : , :
20instantiation24, 25  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
22instantiation27, 26, 31  ⊢  
  : , : , :
23instantiation27, 28, 29  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
25instantiation30, 31  ⊢  
  :
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
27theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
29instantiation32, 33  ⊢  
  :
30theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
31axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
32theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
33theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1