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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.multiplication.commutation
2instantiation26, 13, 4  ⊢  
  : , : , :
3instantiation5, 6, 7, 8  ⊢  
  : , :
4instantiation9, 10, 11  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.division.div_complex_closure
6instantiation26, 13, 12  ⊢  
  : , : , :
7instantiation26, 13, 14  ⊢  
  : , : , :
8instantiation15, 16  ⊢  
  :
9theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
10instantiation17, 18  ⊢  
  : , :
11theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
12instantiation26, 20, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation26, 20, 21  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
16theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
17theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
19instantiation26, 23, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation26, 23, 24  ⊢  
  : , : , :
22instantiation26, 27, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation26, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
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