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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 27, 5, 6  ⊢  
  : , : , : , : , : , : , :
3instantiation7, 8  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.logic.sets.enumeration.leftward_permutation
5axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7axiom  ⊢  
 proveit.logic.equality.substitution
8instantiation9, 10, 11  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
10theorem  ⊢  
 proveit.numbers.numerals.decimals.add_2_1
11instantiation12, 13, 14  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.addition.commutation
13instantiation25, 16, 15  ⊢  
  : , : , :
14instantiation25, 16, 17  ⊢  
  : , : , :
15instantiation25, 19, 18  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation25, 19, 20  ⊢  
  : , : , :
18instantiation25, 22, 21  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
20instantiation25, 22, 23  ⊢  
  : , : , :
21instantiation25, 26, 24  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation25, 26, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
25theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1