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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  ⊢  
  : , : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.leftward_commutation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5instantiation8  ⊢  
  : , :
6instantiation21, 10, 9  ⊢  
  : , : , :
7instantiation21, 10, 11  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9instantiation21, 12, 13  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
11instantiation14, 15, 16  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
13instantiation21, 17, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
15instantiation19, 20  ⊢  
  : , :
16assumption  ⊢  
17theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
18instantiation21, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
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