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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, 4, 5, 6, 7  ⊢  
  : , : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.leftward_commutation
2theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
3axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
4theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5instantiation22, 10, 8  ⊢  
  : , : , :
6instantiation22, 10, 9  ⊢  
  : , : , :
7instantiation22, 10, 11  ⊢  
  : , : , :
8instantiation22, 14, 12  ⊢  
  : , : , :
9instantiation22, 14, 13  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
11instantiation22, 14, 15  ⊢  
  : , : , :
12instantiation22, 18, 16  ⊢  
  : , : , :
13instantiation22, 18, 17  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
15instantiation22, 18, 19  ⊢  
  : , : , :
16instantiation22, 23, 20  ⊢  
  : , : , :
17instantiation22, 23, 21  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
19instantiation22, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
22theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4