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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_13
2instantiation22, 6, 5  ⊢  
  : , : , :
3instantiation22, 6, 7  ⊢  
  : , : , :
4instantiation8  ⊢  
  :
5instantiation22, 10, 9  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation22, 10, 11  ⊢  
  : , : , :
8axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
9instantiation22, 13, 12  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
11instantiation22, 13, 15  ⊢  
  : , : , :
12instantiation14, 15, 16  ⊢  
  : , :
13theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
14theorem  ⊢  
 proveit.numbers.multiplication.mult_rational_pos_closure_bin
15instantiation17, 18, 19  ⊢  
  : , :
16instantiation22, 23, 20  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.division.div_rational_pos_closure
18instantiation22, 23, 21  ⊢  
  : , : , :
19instantiation22, 23, 24  ⊢  
  : , : , :
20assumption  ⊢  
21theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
22theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
24theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2