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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,  ⊢  
  : , : , :
1reference6  ⊢  
2instantiation3, 4, 5,  ⊢  
  : , : , :
3axiom  ⊢  
 proveit.logic.equality.equals_transitivity
4instantiation6, 7  ⊢  
  : , : , :
5instantiation8, 9, 10, 11, 12, 13, 14, 15, 16,  ⊢  
  : , : , : , : , : , :
6axiom  ⊢  
 proveit.logic.equality.substitution
7theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_2
8theorem  ⊢  
 proveit.numbers.addition.disassociation
9axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
10theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
12theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13instantiation17  ⊢  
  : , :
14instantiation26, 20, 18  ⊢  
  : , : , :
15instantiation26, 20, 19  ⊢  
  : , : , :
16instantiation26, 20, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18assumption  ⊢  
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation26, 22, 23  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation26, 24, 25  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
25instantiation26, 27, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3