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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_32
2instantiation24, 6, 5  ⊢  
  : , : , :
3instantiation24, 6, 7,  ⊢  
  : , : , :
4instantiation8  ⊢  
  :
5instantiation9, 10, 26  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation24, 11, 12,  ⊢  
  : , : , :
8axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
9theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
10instantiation13, 14  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
12instantiation24, 15, 16,  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
15theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
16instantiation24, 17, 18,  ⊢  
  : , : , :
17instantiation19, 20, 21  ⊢  
  : , :
18assumption  ⊢  
19theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
20instantiation24, 22, 23  ⊢  
  : , : , :
21instantiation24, 25, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
26assumption  ⊢