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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, 4, 5, 6, 7, 8, 9, 10, 11, 12*, , , , ,  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.association
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
4reference18  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation13  ⊢  
  : , : , : , :
7reference20  ⊢  
8reference21  ⊢  
9instantiation14, 22, 15,  ⊢  
  : , :
10reference23  ⊢  
11assumption  ⊢  
12instantiation16, 17, 18, 19, 20, 21, 22, 25, 23, , , ,  ⊢  
  : , : , : , : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
14theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
15instantiation24, 25  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.multiplication.distribute_through_subtract
17theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
18theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
19instantiation26  ⊢  
  : , :
20instantiation34, 28, 27  ⊢  
  : , : , :
21assumption  ⊢  
22assumption  ⊢  
23instantiation34, 28, 29  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.negation.complex_closure
25assumption  ⊢  
26theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27instantiation34, 31, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
29instantiation34, 31, 32  ⊢  
  : , : , :
30instantiation34, 35, 33  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
32instantiation34, 35, 36  ⊢  
  : , : , :
33assumption  ⊢  
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
36assumption  ⊢  
*equality replacement requirements