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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 4, 5, 6, 7  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.division.mult_frac_left
4instantiation30, 10, 8  ⊢  
  : , : , :
5instantiation30, 10, 9  ⊢  
  : , : , :
6instantiation30, 10, 11  ⊢  
  : , : , :
7instantiation12, 13  ⊢  
  :
8instantiation30, 17, 14  ⊢  
  : , : , :
9instantiation15, 16, 29  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
11instantiation30, 17, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
13theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
14instantiation30, 22, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
16instantiation20, 21  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation30, 22, 23  ⊢  
  : , : , :
19instantiation24, 25, 26  ⊢  
  : , :
20theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation30, 31, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
25instantiation30, 28, 29  ⊢  
  : , : , :
26instantiation30, 31, 32  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
29assumption  ⊢  
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1