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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  ⊢  
  : , : , :
1reference4  ⊢  
2instantiation4, 5, 6  ⊢  
  : , : , :
3instantiation7, 8  ⊢  
  : , :
4axiom  ⊢  
 proveit.logic.equality.equals_transitivity
5instantiation11, 12, 13, 14  ⊢  
  : , : , : , : , : , : , :
6instantiation9, 10  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.logic.equality.equals_reversal
8instantiation11, 12, 13, 14  ⊢  
  : , : , : , : , : , : , :
9axiom  ⊢  
 proveit.logic.equality.substitution
10instantiation15, 16  ⊢  
  :
11theorem  ⊢  
 proveit.logic.sets.enumeration.leftward_permutation
12axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
13theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
14theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
16instantiation23, 17, 18  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation23, 19, 20  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
20instantiation23, 21, 22  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation23, 24, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2