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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  ⊢  
  : , : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.rightward_commutation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference30  ⊢  
4theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5instantiation9  ⊢  
  : , :
6instantiation32, 12, 10  ⊢  
  : , : , :
7instantiation32, 12, 11  ⊢  
  : , : , :
8instantiation32, 12, 13  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10instantiation32, 18, 14  ⊢  
  : , : , :
11instantiation15, 16, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
13instantiation32, 18, 19  ⊢  
  : , : , :
14instantiation32, 20, 21  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
16instantiation22, 23  ⊢  
  : , :
17axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation32, 24, 25  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
21instantiation26, 27, 28  ⊢  
  : , :
22theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
25instantiation32, 29, 30  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.division.div_rational_pos_closure
27instantiation32, 33, 31  ⊢  
  : , : , :
28instantiation32, 33, 34  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
31theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
32theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
34theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2