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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, ,  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.substitution
2instantiation3, 4, ,  ⊢  
  : , :
3theorem  ⊢  
 proveit.logic.equality.equals_reversal
4instantiation5, 17, 13, 6, 7, 8*, ,  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.division.mult_frac_left
6instantiation16, 17, 9  ⊢  
  : , :
7instantiation10, 11  ⊢  
  : , :
8instantiation12, 13,  ⊢  
  :
9instantiation20, 24  ⊢  
  :
10theorem  ⊢  
 proveit.numbers.addition.subtraction.nonzero_difference_if_different
11instantiation14, 15  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
13instantiation16, 17, 18,  ⊢  
  : , :
14theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
15assumption  ⊢  
16theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
17instantiation36, 26, 19  ⊢  
  : , : , :
18instantiation20, 21,  ⊢  
  :
19instantiation36, 28, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.negation.complex_closure
21instantiation23, 24, 25,  ⊢  
  : , :
22instantiation36, 30, 34  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
24assumption  ⊢  
25instantiation36, 26, 27  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
27instantiation36, 28, 29  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation36, 30, 31  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31instantiation32, 33, 34  ⊢  
  : , :
32theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
33instantiation36, 37, 35  ⊢  
  : , : , :
34instantiation36, 37, 38  ⊢  
  : , : , :
35assumption  ⊢  
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements