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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,  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.substitution
2instantiation3, 25, 4, 5, 6, 7, 8, 9, 10, 11, 12*,  ⊢  
  : , : , : , : , : , :
3theorem  ⊢  
 proveit.numbers.addition.association
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation13  ⊢  
  : , :
6instantiation13  ⊢  
  : , :
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8instantiation26, 17, 14  ⊢  
  : , : , :
9instantiation26, 17, 15  ⊢  
  : , : , :
10instantiation26, 17, 16  ⊢  
  : , : , :
11instantiation26, 17, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.add_2_3
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14assumption  ⊢  
15assumption  ⊢  
16instantiation26, 20, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation26, 20, 21  ⊢  
  : , : , :
19instantiation26, 23, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation26, 23, 24  ⊢  
  : , : , :
22instantiation26, 27, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation26, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
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
*equality replacement requirements