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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  ⊢  
  : , : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.leftward_commutation
2reference25  ⊢  
3axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
4theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5instantiation31, 13, 8  ⊢  
  : , : , :
6instantiation9, 10  ⊢  
  :
7instantiation31, 13, 11  ⊢  
  : , : , :
8instantiation31, 17, 12  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.negation.complex_closure
10instantiation31, 13, 14  ⊢  
  : , : , :
11instantiation31, 17, 15  ⊢  
  : , : , :
12instantiation31, 21, 16  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation31, 17, 18  ⊢  
  : , : , :
15instantiation31, 21, 19  ⊢  
  : , : , :
16instantiation20, 27, 24  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation31, 21, 22  ⊢  
  : , : , :
19instantiation23, 24  ⊢  
  :
20theorem  ⊢  
 proveit.numbers.multiplication.mult_int_closure_bin
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation31, 29, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.negation.int_closure
24instantiation26, 27, 28  ⊢  
  : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
26theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
27instantiation31, 29, 30  ⊢  
  : , : , :
28instantiation31, 32, 33  ⊢  
  : , : , :
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  ⊢