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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
2instantiation5, 4  ⊢  
  : , : , :
3instantiation5, 6  ⊢  
  : , : , :
4instantiation8, 7, 10  ⊢  
  : , :
5axiom  ⊢  
 proveit.logic.equality.substitution
6instantiation8, 9, 10  ⊢  
  : , :
7instantiation22, 13, 11  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.multiplication.commutation
9instantiation22, 13, 12  ⊢  
  : , : , :
10instantiation22, 13, 14  ⊢  
  : , : , :
11instantiation22, 16, 15  ⊢  
  : , : , :
12instantiation22, 16, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14assumption  ⊢  
15instantiation22, 19, 18  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
17instantiation22, 19, 20  ⊢  
  : , : , :
18instantiation22, 23, 21  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation22, 23, 24  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
22theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3