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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, 4, 5, 27, 6, 7, 8, 9, 10, 11,  ⊢  
  : , : , : , : , : , :
3theorem  ⊢  
 proveit.numbers.addition.association
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation12  ⊢  
  : , : , :
8instantiation25, 16, 13  ⊢  
  : , : , :
9instantiation25, 16, 14  ⊢  
  : , : , :
10instantiation25, 16, 15  ⊢  
  : , : , :
11instantiation25, 16, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
13assumption  ⊢  
14assumption  ⊢  
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