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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
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4reference36  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7reference11  ⊢  
8instantiation13, 11, 12,  ⊢  
  : , :
9instantiation13, 14, 15,  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation34, 19, 16  ⊢  
  : , : , :
12instantiation34, 19, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
14instantiation34, 19, 18  ⊢  
  : , : , :
15instantiation34, 19, 22  ⊢  
  : , : , :
16instantiation34, 25, 20  ⊢  
  : , : , :
17instantiation21, 22, 23  ⊢  
  : , :
18instantiation34, 27, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20assumption  ⊢  
21theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
22instantiation34, 25, 26  ⊢  
  : , : , :
23instantiation34, 27, 28  ⊢  
  : , : , :
24instantiation34, 30, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
26assumption  ⊢  
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation34, 30, 31  ⊢  
  : , : , :
29assumption  ⊢  
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31instantiation32, 33  ⊢  
  :
32theorem  ⊢  
 proveit.numbers.negation.int_closure
33instantiation34, 35, 36  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1