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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*, ,  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.association
2reference17  ⊢  
3reference35  ⊢  
4reference18  ⊢  
5instantiation23  ⊢  
  : , :
6instantiation23  ⊢  
  : , :
7instantiation12, 20, 28  ⊢  
  : , :
8reference28  ⊢  
9assumption  ⊢  
10assumption  ⊢  
11instantiation13, 14, 15*  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
13theorem  ⊢  
 proveit.logic.equality.equals_reversal
14instantiation16, 17, 35, 38, 18, 19, 20, 21, 28, 22*  ⊢  
  : , : , : , : , : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.add_2_1
16theorem  ⊢  
 proveit.numbers.multiplication.distribute_through_sum
17axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
18theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19instantiation23  ⊢  
  : , :
20instantiation36, 25, 24  ⊢  
  : , : , :
21instantiation36, 25, 26  ⊢  
  : , : , :
22instantiation27, 28  ⊢  
  :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24instantiation36, 30, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26instantiation36, 30, 31  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
28assumption  ⊢  
29instantiation36, 33, 32  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
31instantiation36, 33, 34  ⊢  
  : , : , :
32instantiation36, 37, 35  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
34instantiation36, 37, 38  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
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