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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.distribute_through_sum
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
4reference35  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation13  ⊢  
  : , : , : , :
7instantiation33, 23, 14  ⊢  
  : , : , :
8instantiation33, 23, 15  ⊢  
  : , : , :
9reference17  ⊢  
10instantiation16, 17  ⊢  
  :
11reference19  ⊢  
12instantiation18, 19  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
14instantiation33, 27, 20  ⊢  
  : , : , :
15instantiation33, 27, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.negation.complex_closure
17instantiation33, 23, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
19instantiation33, 23, 24  ⊢  
  : , : , :
20instantiation33, 31, 25  ⊢  
  : , : , :
21instantiation33, 31, 26  ⊢  
  : , : , :
22instantiation33, 27, 28  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
24assumption  ⊢  
25instantiation33, 34, 29  ⊢  
  : , : , :
26instantiation33, 34, 30  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation33, 31, 32  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation33, 34, 35  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements