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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 4, 5, 34, 6, 7, 8, 9, 16, 10, 18, 11*  ⊢  
  : , : , : , : , : , :
3theorem  ⊢  
 proveit.numbers.multiplication.distribute_through_sum
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation12  ⊢  
  : , : , : , :
8instantiation32, 22, 13  ⊢  
  : , : , :
9instantiation32, 22, 14  ⊢  
  : , : , :
10instantiation15, 16  ⊢  
  :
11instantiation17, 18  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
13instantiation32, 26, 19  ⊢  
  : , : , :
14instantiation32, 26, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.negation.complex_closure
16instantiation32, 22, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
18instantiation32, 22, 23  ⊢  
  : , : , :
19instantiation32, 30, 24  ⊢  
  : , : , :
20instantiation32, 30, 25  ⊢  
  : , : , :
21instantiation32, 26, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
23assumption  ⊢  
24instantiation32, 33, 28  ⊢  
  : , : , :
25instantiation32, 33, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation32, 30, 31  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31instantiation32, 33, 34  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements