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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.division.prod_of_fracs
2reference15  ⊢  
3instantiation40, 23, 9  ⊢  
  : , : , :
4instantiation40, 11, 10  ⊢  
  : , : , :
5instantiation40, 11, 12  ⊢  
  : , : , :
6instantiation13, 15  ⊢  
  :
7instantiation14, 15  ⊢  
  :
8instantiation16, 17  ⊢  
  :
9instantiation40, 30, 18  ⊢  
  : , : , :
10instantiation40, 20, 19  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
12instantiation40, 20, 21  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.division.frac_one_denom
14theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
15instantiation40, 23, 22  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
17instantiation40, 23, 24  ⊢  
  : , : , :
18instantiation40, 37, 25  ⊢  
  : , : , :
19instantiation40, 27, 26  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
21instantiation40, 27, 28  ⊢  
  : , : , :
22instantiation40, 30, 29  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
24instantiation40, 30, 31  ⊢  
  : , : , :
25instantiation40, 41, 32  ⊢  
  : , : , :
26instantiation40, 34, 33  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
28instantiation40, 34, 35  ⊢  
  : , : , :
29instantiation40, 37, 36  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
31instantiation40, 37, 38  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
33theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
36instantiation40, 41, 39  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
38instantiation40, 41, 42  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
42theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
*equality replacement requirements