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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  ⊢  
  : , : , :
1reference26  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
3instantiation26, 4, 5  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
5instantiation19, 6, 7  ⊢  
  : , :
6instantiation19, 8, 16  ⊢  
  : , :
7instantiation26, 9, 10  ⊢  
  : , : , :
8instantiation26, 11, 12  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
10instantiation13, 14  ⊢  
  :
11instantiation15, 16, 17  ⊢  
  : , :
12assumption  ⊢  
13theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
14theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
15theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
16instantiation26, 27, 18  ⊢  
  : , : , :
17instantiation19, 20, 21  ⊢  
  : , :
18theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
19theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
20instantiation26, 22, 23  ⊢  
  : , : , :
21instantiation24, 25  ⊢  
  :
22theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
23theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
24theorem  ⊢  
 proveit.numbers.negation.int_closure
25instantiation26, 27, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2