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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
0generalization1,  ⊢  
1instantiation2, 3, 4, 25, 5, 6, 7, 8, 9, ,  ⊢  
  : , : , : , : , : , :
2theorem  ⊢  
 proveit.numbers.multiplication.association
3axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7assumption  ⊢  
8assumption  ⊢  
9instantiation11, 12, 13  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
12instantiation23, 15, 14  ⊢  
  : , : , :
13instantiation23, 15, 16  ⊢  
  : , : , :
14instantiation23, 18, 17  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
16instantiation23, 18, 19  ⊢  
  : , : , :
17instantiation23, 21, 20  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation23, 21, 22  ⊢  
  : , : , :
20assumption  ⊢  
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.nat1