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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, ,  ⊢  
  : , :
1reference6  ⊢  
2instantiation3, 4, 5, ,  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
4instantiation6, 7, ,  ⊢  
  : , :
5instantiation8, 31, 32  ⊢  
  : , :
6theorem  ⊢  
 proveit.logic.equality.equals_reversal
7instantiation9, 20, 17, 10, 11, 12*, ,  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.addition.commutation
9theorem  ⊢  
 proveit.numbers.division.mult_frac_left
10instantiation30, 20, 13  ⊢  
  : , :
11instantiation14, 15  ⊢  
  : , :
12instantiation16, 17,  ⊢  
  :
13instantiation23, 27  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.addition.subtraction.nonzero_difference_if_different
15instantiation18, 19  ⊢  
  : , :
16theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
17instantiation30, 20, 21,  ⊢  
  : , :
18theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
19assumption  ⊢  
20instantiation46, 35, 22  ⊢  
  : , : , :
21instantiation23, 24,  ⊢  
  :
22instantiation46, 40, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.negation.complex_closure
24instantiation26, 27, 28,  ⊢  
  : , :
25instantiation46, 44, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
27assumption  ⊢  
28instantiation30, 31, 32  ⊢  
  : , :
29instantiation46, 47, 33  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
31instantiation46, 35, 34  ⊢  
  : , : , :
32instantiation46, 35, 36  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
34instantiation37, 38, 39  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
36instantiation46, 40, 41  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
38instantiation42, 43  ⊢  
  : , :
39assumption  ⊢  
40theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
41instantiation46, 44, 45  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
43theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_within_real
44theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
45instantiation46, 47, 48  ⊢  
  : , : , :
46theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
48theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements