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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 4, 5  ⊢  
  : , : , :
3axiom  ⊢  
 proveit.logic.equality.equals_transitivity
4instantiation6, 7, 8, 30, 9, 10, 13, 11, 17  ⊢  
  : , : , : , : , : , :
5instantiation12, 17, 13, 14  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.addition.disassociation
7axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
9theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10instantiation15  ⊢  
  : , :
11instantiation16, 17  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_32
13instantiation28, 20, 18  ⊢  
  : , : , :
14instantiation19  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16theorem  ⊢  
 proveit.numbers.negation.complex_closure
17instantiation28, 20, 21  ⊢  
  : , : , :
18instantiation28, 22, 23  ⊢  
  : , : , :
19axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation28, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
23assumption  ⊢  
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation28, 26, 27  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation28, 29, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1