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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, ,  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
2instantiation4, 5, ,  ⊢  
  : , :
3instantiation6, 29, 30  ⊢  
  : , :
4theorem  ⊢  
 proveit.logic.equality.equals_reversal
5instantiation7, 18, 15, 8, 9, 10*, ,  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.addition.commutation
7theorem  ⊢  
 proveit.numbers.division.mult_frac_left
8instantiation28, 18, 11  ⊢  
  : , :
9instantiation12, 13  ⊢  
  : , :
10instantiation14, 15,  ⊢  
  :
11instantiation21, 25  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.addition.subtraction.nonzero_difference_if_different
13instantiation16, 17  ⊢  
  : , :
14theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
15instantiation28, 18, 19,  ⊢  
  : , :
16theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
17assumption  ⊢  
18instantiation44, 33, 20  ⊢  
  : , : , :
19instantiation21, 22,  ⊢  
  :
20instantiation44, 38, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.negation.complex_closure
22instantiation24, 25, 26,  ⊢  
  : , :
23instantiation44, 42, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
25assumption  ⊢  
26instantiation28, 29, 30  ⊢  
  : , :
27instantiation44, 45, 31  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
29instantiation44, 33, 32  ⊢  
  : , : , :
30instantiation44, 33, 34  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
32instantiation35, 36, 37  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
34instantiation44, 38, 39  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
36instantiation40, 41  ⊢  
  : , :
37assumption  ⊢  
38theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
39instantiation44, 42, 43  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_within_real
42theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
43instantiation44, 45, 46  ⊢  
  : , : , :
44theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
46theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements