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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,  ⊢  
  : , : , :
1reference25  ⊢  
2instantiation4, 5, 6, 7, 8, 9,  ⊢  
  : , : , : , :
3instantiation10, 11  ⊢  
  :
4axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
6instantiation12  ⊢  
  : , :
7instantiation12  ⊢  
  : , :
8instantiation13, 14  ⊢  
  :
9instantiation15, 16, 17*  ⊢  
  :
10theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
11instantiation36, 37, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13theorem  ⊢  
 proveit.numbers.absolute_value.abs_non_neg_elim
14instantiation19, 23  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.absolute_value.complex_unit_length
16instantiation20, 38  ⊢  
  :
17instantiation30, 21  ⊢  
  : , :
18instantiation36, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nonneg_if_in_real_nonneg
20theorem  ⊢  
 proveit.numbers.negation.real_closure
21instantiation28, 24  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
23assumption  ⊢  
24instantiation25, 26, 27  ⊢  
  : , : , :
25axiom  ⊢  
 proveit.logic.equality.equals_transitivity
26instantiation28, 29  ⊢  
  : , : , :
27instantiation30, 31  ⊢  
  : , :
28axiom  ⊢  
 proveit.logic.equality.substitution
29instantiation32, 35, 34  ⊢  
  : , :
30theorem  ⊢  
 proveit.logic.equality.equals_reversal
31instantiation33, 34, 35  ⊢  
  : , :
32theorem  ⊢  
 proveit.numbers.multiplication.commutation
33theorem  ⊢  
 proveit.numbers.negation.pos_times_neg
34theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
35instantiation36, 37, 38  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
38assumption  ⊢  
*equality replacement requirements