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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
2instantiation4, 28, 5, 6, 7, 8, 15, 11, 9  ⊢  
  : , : , : , : , : , :
3instantiation10, 15, 11, 12  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.disassociation
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7instantiation13  ⊢  
  : , :
8theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9instantiation14, 15  ⊢  
  :
10theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_13
11instantiation26, 18, 16  ⊢  
  : , : , :
12instantiation17  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14theorem  ⊢  
 proveit.numbers.negation.complex_closure
15instantiation26, 18, 19  ⊢  
  : , : , :
16instantiation26, 20, 21  ⊢  
  : , : , :
17axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation26, 22, 23  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
21assumption  ⊢  
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation26, 24, 25  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
25instantiation26, 27, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1