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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, 9*  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.association
2reference15  ⊢  
3reference37  ⊢  
4reference30  ⊢  
5reference16  ⊢  
6instantiation20  ⊢  
  : , :
7reference23  ⊢  
8instantiation10, 18  ⊢  
  :
9instantiation11, 12, 13*  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.negation.complex_closure
11theorem  ⊢  
 proveit.logic.equality.equals_reversal
12instantiation14, 15, 37, 30, 16, 17, 18, 23, 19*  ⊢  
  : , : , : , : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_1
14theorem  ⊢  
 proveit.numbers.multiplication.distribute_through_sum
15axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
16theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17instantiation20  ⊢  
  : , :
18instantiation38, 25, 21  ⊢  
  : , : , :
19instantiation22, 23  ⊢  
  :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21instantiation38, 28, 24  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
23instantiation38, 25, 26  ⊢  
  : , : , :
24instantiation38, 31, 27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26instantiation38, 28, 29  ⊢  
  : , : , :
27instantiation38, 36, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation38, 31, 32  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation33, 34, 35  ⊢  
  : , :
33theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
34instantiation38, 36, 37  ⊢  
  : , : , :
35instantiation38, 39, 40  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
38theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
40assumption  ⊢  
*equality replacement requirements