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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  ⊢  
  : , : , : , :
1axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
2theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
3instantiation7  ⊢  
  : , : , :
4instantiation7  ⊢  
  : , : , :
5instantiation8, 10, 12  ⊢  
  : , : , :
6instantiation9, 10, 11, 12  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
8theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_12
9theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_32
10instantiation26, 14, 13  ⊢  
  : , : , :
11instantiation26, 14, 15  ⊢  
  : , : , :
12instantiation16  ⊢  
  :
13instantiation26, 17, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation19, 20, 21  ⊢  
  : , : , :
16axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation26, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
20instantiation24, 25  ⊢  
  : , :
21assumption  ⊢  
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation26, 27, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
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