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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_numer_left
2instantiation25, 15, 6  ⊢  
  : , : , :
3instantiation25, 15, 7  ⊢  
  : , : , :
4instantiation8, 9, 10,  ⊢  
  :
5instantiation25, 11, 12  ⊢  
  : , : , :
6assumption  ⊢  
7instantiation25, 13, 14  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
9instantiation25, 15, 16  ⊢  
  : , : , :
10assumption  ⊢  
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
12instantiation25, 17, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
14instantiation25, 19, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
16assumption  ⊢  
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
18instantiation25, 21, 22  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation25, 23, 24  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
22instantiation25, 26, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
25theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1