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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.addition.subtraction.add_cancel_triple_13
2instantiation27, 6, 5  ⊢  
  : , : , :
3instantiation27, 6, 7  ⊢  
  : , : , :
4instantiation8  ⊢  
  :
5instantiation27, 10, 9  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation27, 10, 11  ⊢  
  : , : , :
8axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
9instantiation27, 12, 22  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
11instantiation27, 12, 13  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
13instantiation27, 14, 15  ⊢  
  : , : , :
14instantiation16, 17, 24  ⊢  
  : , :
15instantiation18, 19  ⊢  
  : , :
16theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
17instantiation20, 21, 22  ⊢  
  : , :
18theorem  ⊢  
 proveit.logic.booleans.conjunction.left_from_and
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
21instantiation23, 24  ⊢  
  :
22instantiation27, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.negation.int_closure
24instantiation27, 28, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
27theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
29theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos