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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,  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 5, 33, 6, 7, 8, 13, 9, 10, 17, 11,  ⊢  
  : , : , : , : , : , : , : , :
3instantiation12, 17, 13, 14,  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_general
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7instantiation15  ⊢  
  : , :
8theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9instantiation16, 17  ⊢  
  :
10instantiation31, 21, 18  ⊢  
  : , : , :
11instantiation20  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_32
13instantiation31, 21, 19  ⊢  
  : , : , :
14instantiation20  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16theorem  ⊢  
 proveit.numbers.negation.complex_closure
17instantiation31, 21, 22  ⊢  
  : , : , :
18instantiation31, 25, 23  ⊢  
  : , : , :
19instantiation31, 25, 24  ⊢  
  : , : , :
20axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22instantiation31, 25, 26  ⊢  
  : , : , :
23instantiation31, 29, 27  ⊢  
  : , : , :
24instantiation31, 29, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
26instantiation31, 29, 30  ⊢  
  : , : , :
27instantiation31, 32, 33  ⊢  
  : , : , :
28assumption  ⊢  
29theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
30assumption  ⊢  
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1