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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, 5, 6, 7, 8, 9*  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.association
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4reference28  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7instantiation26, 12, 11  ⊢  
  : , : , :
8instantiation26, 12, 13  ⊢  
  : , : , :
9instantiation14, 15, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation26, 18, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
13instantiation26, 18, 19  ⊢  
  : , : , :
14axiom  ⊢  
 proveit.logic.equality.equals_transitivity
15instantiation20, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.add_6_1
17instantiation26, 23, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation26, 23, 24  ⊢  
  : , : , :
20axiom  ⊢  
 proveit.logic.equality.substitution
21theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_3
22instantiation26, 27, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation26, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements