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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, ,  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 15, 11, 4, 5, 6*, ,  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.division.mult_frac_left
4instantiation14, 15, 7  ⊢  
  : , :
5instantiation8, 9  ⊢  
  : , :
6instantiation10, 11,  ⊢  
  :
7instantiation18, 22  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.addition.subtraction.nonzero_difference_if_different
9instantiation12, 13  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
11instantiation14, 15, 16,  ⊢  
  : , :
12theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
13assumption  ⊢  
14theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
15instantiation34, 24, 17  ⊢  
  : , : , :
16instantiation18, 19,  ⊢  
  :
17instantiation34, 26, 20  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.negation.complex_closure
19instantiation21, 22, 23,  ⊢  
  : , :
20instantiation34, 28, 32  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
22assumption  ⊢  
23instantiation34, 24, 25  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
25instantiation34, 26, 27  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation34, 28, 29  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation30, 31, 32  ⊢  
  : , :
30theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
31instantiation34, 35, 33  ⊢  
  : , : , :
32instantiation34, 35, 36  ⊢  
  : , : , :
33assumption  ⊢  
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements