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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,  ⊢  
  : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.division.mult_frac_cancel_denom_left
2instantiation30, 7, 6  ⊢  
  : , : , :
3instantiation30, 7, 8  ⊢  
  : , : , :
4instantiation30, 10, 9  ⊢  
  : , : , :
5instantiation30, 10, 11  ⊢  
  : , : , :
6instantiation12, 13, 14  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
8instantiation30, 15, 16  ⊢  
  : , : , :
9instantiation30, 18, 17  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
11instantiation30, 18, 19  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
13instantiation20, 21  ⊢  
  : , :
14assumption  ⊢  
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation30, 22, 23  ⊢  
  : , : , :
17instantiation30, 25, 24  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
19instantiation30, 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, 27, 28  ⊢  
  : , : , :
24instantiation30, 31, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
26instantiation30, 31, 32  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
29theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
32assumption  ⊢