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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, , ,  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.logic.equality.four_chain_transitivity
2instantiation6, 9, 7, 8, 11, 5, 14, 13, 12, 15, , ,  ⊢  
  : , : , : , : , : , : , :
3instantiation6, 8, 12, 14, 13, 15, , ,  ⊢  
  : , : , : , : , : , : , :
4instantiation6, 7, 8, 9, 10, 11, 12, 13, 14, 15, , ,  ⊢  
  : , : , : , : , : , : , :
5instantiation16  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.addition.leftward_commutation
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
9axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
10instantiation16  ⊢  
  : , :
11theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12instantiation24, 20, 17  ⊢  
  : , : , :
13instantiation24, 20, 18  ⊢  
  : , : , :
14instantiation24, 20, 19  ⊢  
  : , : , :
15instantiation24, 20, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17instantiation24, 25, 22  ⊢  
  : , : , :
18instantiation24, 25, 23  ⊢  
  : , : , :
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation24, 25, 26  ⊢  
  : , : , :
22assumption  ⊢  
23assumption  ⊢  
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
26assumption  ⊢