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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, 8, 9  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.disassociation
2theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
3reference26  ⊢  
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation10  ⊢  
  : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation11, 12, 13  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
9instantiation24, 16, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
12instantiation24, 16, 15  ⊢  
  : , : , :
13instantiation24, 16, 17  ⊢  
  : , : , :
14assumption  ⊢  
15instantiation24, 18, 19  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation24, 20, 21  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation24, 22, 23  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation24, 25, 26  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2