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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, , , , ,  ⊢  
  : , : , :
1reference4  ⊢  
2instantiation4, 5, 6, , , , ,  ⊢  
  : , : , :
3instantiation7, 21, 8, 12, 9, 14, 17, 24, 18, 25, 26, 10*, , , , ,  ⊢  
  : , : , : , : , : , :
4axiom  ⊢  
 proveit.logic.equality.equals_transitivity
5instantiation15, 21, 11, 12, 13, 14, 17, 25, 18, 26, 24, , , , ,  ⊢  
  : , : , : , : , : , : , :
6instantiation15, 22, 21, 16, 17, 24, 25, 18, 26, , , , ,  ⊢  
  : , : , : , : , : , : , :
7theorem  ⊢  
 proveit.numbers.multiplication.association
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
9instantiation19  ⊢  
  : , : , : , :
10instantiation20, 21, 22, 23, 24, 30, 37, 25, 26, , , ,  ⊢  
  : , : , : , : , : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
12axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
13instantiation27  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15theorem  ⊢  
 proveit.numbers.multiplication.leftward_commutation
16instantiation32  ⊢  
  : , :
17instantiation41, 33, 28  ⊢  
  : , : , :
18instantiation29, 30, 31,  ⊢  
  : , :
19theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
20theorem  ⊢  
 proveit.numbers.multiplication.distribute_through_subtract
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
23instantiation32  ⊢  
  : , :
24assumption  ⊢  
25instantiation41, 33, 34  ⊢  
  : , : , :
26assumption  ⊢  
27theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
28instantiation41, 38, 35  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
30assumption  ⊢  
31instantiation36, 37  ⊢  
  :
32theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
34instantiation41, 38, 39  ⊢  
  : , : , :
35instantiation41, 42, 40  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.negation.complex_closure
37assumption  ⊢  
38theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
39instantiation41, 42, 43  ⊢  
  : , : , :
40assumption  ⊢  
41theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
43assumption  ⊢  
*equality replacement requirements