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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  ⊢  
  : , : , :
1reference17  ⊢  
2instantiation23, 4  ⊢  
  : , : , :
3instantiation5, 6, 7, 31, 8, 9, 10, 11, 12*  ⊢  
  : , : , : , : , : , :
4theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_2
5theorem  ⊢  
 proveit.numbers.addition.association
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
8theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9instantiation13  ⊢  
  : , :
10instantiation29, 15, 14  ⊢  
  : , : , :
11instantiation29, 15, 16  ⊢  
  : , : , :
12instantiation17, 18, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14instantiation29, 21, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
16instantiation29, 21, 22  ⊢  
  : , : , :
17axiom  ⊢  
 proveit.logic.equality.equals_transitivity
18instantiation23, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.numerals.decimals.add_6_1
20instantiation29, 26, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
22instantiation29, 26, 27  ⊢  
  : , : , :
23axiom  ⊢  
 proveit.logic.equality.substitution
24theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_3
25instantiation29, 30, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation29, 30, 31  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
29theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements