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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, 7, 6, 5, 9, 8, 11, 12, 10, 13, , ,  ⊢  
  : , : , : , : , : , : , :
3instantiation4, 5, 6, 7, 8, 9, 10, 11, 12, 13, , ,  ⊢  
  : , : , : , : , : , : , :
4theorem  ⊢  
 proveit.numbers.addition.leftward_commutation
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
6theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
7axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
8instantiation14  ⊢  
  : , :
9theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10instantiation22, 18, 15  ⊢  
  : , : , :
11instantiation22, 18, 16  ⊢  
  : , : , :
12instantiation22, 18, 17  ⊢  
  : , : , :
13instantiation22, 18, 19  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15instantiation22, 23, 20  ⊢  
  : , : , :
16instantiation22, 23, 21  ⊢  
  : , : , :
17assumption  ⊢  
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation22, 23, 24  ⊢  
  : , : , :
20assumption  ⊢  
21assumption  ⊢  
22theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
24assumption  ⊢