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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, 5, 6, 7, 8  ⊢  
  : , : , : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_general
2reference27  ⊢  
3axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
4theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5instantiation28, 11, 9  ⊢  
  : , : , :
6instantiation28, 11, 10  ⊢  
  : , : , :
7instantiation28, 11, 12  ⊢  
  : , : , :
8instantiation13  ⊢  
  :
9instantiation28, 15, 14  ⊢  
  : , : , :
10instantiation28, 15, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
12instantiation17, 18, 30  ⊢  
  : , : , :
13axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
14instantiation28, 20, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation28, 20, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
18instantiation22, 23  ⊢  
  : , :
19instantiation24, 25  ⊢  
  :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21instantiation28, 26, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
24theorem  ⊢  
 proveit.numbers.negation.int_closure
25instantiation28, 29, 30  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
30assumption  ⊢