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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  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.disassociation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4reference37  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7instantiation35, 13, 11  ⊢  
  : , : , :
8instantiation35, 13, 12  ⊢  
  : , : , :
9instantiation35, 13, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation35, 19, 15  ⊢  
  : , : , :
12instantiation16, 17, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation35, 19, 20  ⊢  
  : , : , :
15instantiation35, 21, 22  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
17instantiation23, 24  ⊢  
  : , :
18axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
20instantiation35, 25, 26  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
22instantiation27, 28, 29  ⊢  
  : , :
23theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
26instantiation30, 31  ⊢  
  :
27theorem  ⊢  
 proveit.numbers.division.div_rational_pos_closure
28instantiation35, 33, 32  ⊢  
  : , : , :
29instantiation35, 33, 34  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.negation.int_closure
31instantiation35, 36, 37  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
33theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
34theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1