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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, 5, 30, 28, 6, 7, 10, 8, 14  ⊢  
  : , : , : , : , : , :
3instantiation9, 14, 10, 11  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.disassociation
5axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation12  ⊢  
  : , :
8instantiation13, 14  ⊢  
  :
9theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_32
10instantiation31, 17, 15  ⊢  
  : , : , :
11instantiation16  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13theorem  ⊢  
 proveit.numbers.negation.complex_closure
14instantiation31, 17, 18  ⊢  
  : , : , :
15instantiation31, 20, 19  ⊢  
  : , : , :
16axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation31, 20, 21  ⊢  
  : , : , :
19instantiation31, 23, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation31, 23, 24  ⊢  
  : , : , :
22instantiation25, 26, 27  ⊢  
  : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation31, 29, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
26instantiation31, 29, 30  ⊢  
  : , : , :
27instantiation31, 32, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
33assumption  ⊢