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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*  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.association
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4reference23  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation9  ⊢  
  : , :
7instantiation21, 10, 11  ⊢  
  : , : , :
8instantiation12, 13, 14  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
11instantiation21, 15, 16  ⊢  
  : , : , :
12axiom  ⊢  
 proveit.logic.equality.equals_transitivity
13instantiation17, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.numerals.decimals.add_2_1
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation21, 19, 20  ⊢  
  : , : , :
17axiom  ⊢  
 proveit.logic.equality.substitution
18theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_1
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation21, 22, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements