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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  ⊢  
  : , : , :
1reference6  ⊢  
2instantiation3, 4, 5  ⊢  
  : , : , :
3axiom  ⊢  
 proveit.logic.equality.equals_transitivity
4instantiation6, 7  ⊢  
  : , : , :
5instantiation8, 9  ⊢  
  :
6axiom  ⊢  
 proveit.logic.equality.substitution
7instantiation10, 11, 12  ⊢  
  : , : , :
8axiom  ⊢  
 proveit.logic.booleans.eq_true_intro
9assumption  ⊢  
10theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
11theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_1
12instantiation13, 14, 15  ⊢  
  : , :
13theorem  ⊢  
 proveit.numbers.addition.commutation
14instantiation26, 17, 16  ⊢  
  : , : , :
15instantiation26, 17, 18  ⊢  
  : , : , :
16instantiation26, 20, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation26, 20, 21  ⊢  
  : , : , :
19instantiation26, 23, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation26, 23, 24  ⊢  
  : , : , :
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