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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,  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 4, 5,  ⊢  
  : , : , :
3axiom  ⊢  
 proveit.logic.equality.equals_transitivity
4instantiation6, 7, 8, 9, 10, 11, 14, 15, 12,  ⊢  
  : , : , : , : , : , :
5instantiation13, 14, 15, 16,  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.addition.disassociation
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
9axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
10instantiation17  ⊢  
  : , :
11theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12instantiation28, 19, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_13
14instantiation28, 19, 23  ⊢  
  : , : , :
15instantiation28, 19, 20  ⊢  
  : , : , :
16instantiation21  ⊢  
  :
17theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18instantiation22, 23  ⊢  
  :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation28, 24, 25  ⊢  
  : , : , :
21axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
22theorem  ⊢  
 proveit.numbers.negation.real_closure
23instantiation28, 26, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
25assumption  ⊢  
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation28, 29, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
30assumption  ⊢