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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
0generalization1  ⊢  
1instantiation4, 2  ⊢  
  : , : , :
2instantiation4, 3  ⊢  
  : , : , :
3instantiation4, 5  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation6, 7, 8  ⊢  
  : , : , :
6axiom  ⊢  
 proveit.logic.equality.equals_transitivity
7instantiation9, 10, 11, 36, 12, 13, 16, 20, 14  ⊢  
  : , : , : , : , : , :
8instantiation15, 20, 16, 17  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.addition.disassociation
10axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
12theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13instantiation18  ⊢  
  : , :
14instantiation19, 20  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_23
16instantiation34, 23, 21  ⊢  
  : , : , :
17instantiation22  ⊢  
  :
18theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19theorem  ⊢  
 proveit.numbers.negation.complex_closure
20instantiation34, 23, 24  ⊢  
  : , : , :
21instantiation25, 26, 27  ⊢  
  : , : , :
22axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
23theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
24instantiation34, 28, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
26instantiation30, 31  ⊢  
  : , :
27assumption  ⊢  
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation34, 32, 33  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
32theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
33instantiation34, 35, 36  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1