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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,  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.disassociation
2reference29  ⊢  
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation10  ⊢  
  : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7modus ponens11, 12  ⊢  
8assumption  ⊢  
9assumption  ⊢  
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation13  ⊢  
  : , : , :
12generalization14  ⊢  
13theorem  ⊢  
 proveit.numbers.summation.summation_complex_closure
14instantiation15, 16, 17  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
16instantiation27, 19, 18  ⊢  
  : , : , :
17instantiation27, 19, 20  ⊢  
  : , : , :
18instantiation27, 22, 21  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation27, 22, 23  ⊢  
  : , : , :
21instantiation27, 25, 24  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation27, 25, 26  ⊢  
  : , : , :
24assumption  ⊢  
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
26instantiation27, 28, 29  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1