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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  ⊢  
  :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation8, 9, 10  ⊢  
  : , : , :
6axiom  ⊢  
 proveit.logic.booleans.eq_true_intro
7assumption  ⊢  
8theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
9theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_1
10instantiation11, 12, 13  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.addition.commutation
12instantiation24, 15, 14  ⊢  
  : , : , :
13instantiation24, 15, 16  ⊢  
  : , : , :
14instantiation24, 18, 17  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
16instantiation24, 18, 19  ⊢  
  : , : , :
17instantiation24, 21, 20  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation24, 21, 22  ⊢  
  : , : , :
20instantiation24, 25, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation24, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1