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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_upper_bound
2instantiation18, 5, 6  ⊢  
  : , :
3reference8  ⊢  
4assumption  ⊢  
5instantiation7, 8  ⊢  
  :
6instantiation24, 9, 10  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.negation.int_closure
8instantiation24, 23, 11  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
10theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
11instantiation12, 13, 14  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.exponentiation.exp_natpos_closure
13theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
14instantiation15, 16, 17  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
16instantiation18, 19, 20  ⊢  
  : , :
17instantiation21, 22  ⊢  
  : , :
18theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
19instantiation24, 23, 28  ⊢  
  : , : , :
20instantiation24, 25, 26  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
22instantiation27, 28  ⊢  
  :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
26instantiation29, 30  ⊢  
  :
27theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
28axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
29theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
30theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1