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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, 3  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 8, 7, 31, 10, 5, 11, 12  ⊢  
  : , : , : , : , : , :
3instantiation6, 31, 7, 8, 9, 10, 11, 12, 13*  ⊢  
  : , : , : , : , : , :
4theorem  ⊢  
 proveit.numbers.addition.disassociation
5instantiation14  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.addition.association
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
8axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
9instantiation14  ⊢  
  : , :
10theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11instantiation29, 16, 15  ⊢  
  : , : , :
12instantiation29, 16, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_1
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15instantiation18, 19, 20  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation29, 21, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
19instantiation23, 24  ⊢  
  : , :
20instantiation25, 26  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
22instantiation29, 27, 28  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
25theorem  ⊢  
 proveit.logic.booleans.conjunction.left_from_and
26assumption  ⊢  
27theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
28instantiation29, 30, 31  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements