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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*  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.numbers.division.prod_of_fracs
2reference12  ⊢  
3instantiation34, 9, 8  ⊢  
  : , : , :
4instantiation34, 9, 10  ⊢  
  : , : , :
5instantiation11, 12  ⊢  
  :
6theorem  ⊢  
 proveit.numbers.numerals.decimals.mult_2_2
7instantiation13, 14  ⊢  
  :
8instantiation34, 16, 15  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
10instantiation34, 16, 17  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.division.frac_one_denom
12instantiation34, 19, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
14instantiation34, 19, 20  ⊢  
  : , : , :
15instantiation34, 22, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
17instantiation34, 22, 23  ⊢  
  : , : , :
18instantiation34, 25, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation34, 25, 26  ⊢  
  : , : , :
21instantiation34, 28, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
23instantiation34, 28, 29  ⊢  
  : , : , :
24instantiation34, 31, 30  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
26instantiation34, 31, 32  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
29theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
30instantiation34, 35, 33  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation34, 35, 36  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
*equality replacement requirements