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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
2instantiation22, 4, 17  ⊢  
  : , : , :
3instantiation5, 6, 7, 8  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
5theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_32
6instantiation22, 10, 9  ⊢  
  : , : , :
7instantiation22, 10, 11  ⊢  
  : , : , :
8instantiation12  ⊢  
  :
9instantiation22, 13, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
11instantiation15, 16, 17  ⊢  
  : , : , :
12axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
13theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
14instantiation22, 18, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
16instantiation20, 21  ⊢  
  : , :
17assumption  ⊢  
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
19instantiation22, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
22theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1