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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, 7, 8, 9, 10, 11  ⊢  
  : , : , : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_general
2reference32  ⊢  
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation12  ⊢  
  : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation30, 16, 13  ⊢  
  : , : , :
8instantiation30, 16, 14  ⊢  
  : , : , :
9instantiation30, 16, 15  ⊢  
  : , : , :
10instantiation30, 16, 20  ⊢  
  : , : , :
11instantiation17  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13instantiation23, 24, 18  ⊢  
  : , : , :
14instantiation19, 20  ⊢  
  :
15instantiation30, 21, 22  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
18axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
19theorem  ⊢  
 proveit.numbers.negation.real_closure
20instantiation23, 24, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
22instantiation30, 26, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
24instantiation28, 29  ⊢  
  : , :
25axiom  ⊢  
 proveit.physics.quantum.QPE._n_in_natural_pos
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation30, 31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2