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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*, , , , ,  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.numbers.division.prod_of_fracs
2instantiation27, 7, 8  ⊢  
  : , : , :
3reference14, ,  ⊢  
4instantiation11, 9, 10,  ⊢  
  :
5instantiation11, 24, 12,  ⊢  
  :
6instantiation13, 14, ,  ⊢  
  :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
8instantiation27, 15, 16  ⊢  
  : , : , :
9assumption  ⊢  
10assumption  ⊢  
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
12assumption  ⊢  
13theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
14instantiation17, 18, 25, ,  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation27, 19, 20  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
18instantiation21, 22, 23, 24, 25, 26, ,  ⊢  
  : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation27, 28, 29  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.addition.add_complex_closure
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
23instantiation30  ⊢  
  : , : , :
24assumption  ⊢  
25assumption  ⊢  
26assumption  ⊢  
27theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
30theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
*equality replacement requirements