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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  ⊢  
  : , : , :
3instantiation6, 7, 14, 8, 9, 10, 11  ⊢  
  : , : , : , : , : , : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_1
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_portion_substitution
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
8instantiation12  ⊢  
  : , :
9instantiation13, 14  ⊢  
  : , :
10theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11instantiation15, 16  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13theorem  ⊢  
 proveit.core_expr_types.tuples.range_from1_len_typical_eq
14axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
15axiom  ⊢  
 proveit.core_expr_types.tuples.empty_range_def
16instantiation17, 18, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
18instantiation20, 22  ⊢  
  :
19instantiation21, 22, 23  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
21theorem  ⊢  
 proveit.numbers.addition.commutation
22instantiation30, 24, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
24theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
25instantiation30, 26, 27  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation30, 28, 29  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation30, 31, 32  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1