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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,  ⊢  
  : , :
1instantiation5, 6  ⊢  
  :
2instantiation43, 34, 7  ⊢  
  : , : , :
3instantiation8, 9, 10  ⊢  
  : , : , :
4instantiation11, 12  ⊢  
  :
5theorem  ⊢  
 proveit.numbers.exponentiation.int_exp_of_exp
6assumption  ⊢  
7instantiation43, 39, 18  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
9instantiation28, 20, 13  ⊢  
  : , :
10instantiation14, 15, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
12instantiation43, 17, 18  ⊢  
  : , : , :
13instantiation28, 26, 27  ⊢  
  : , :
14axiom  ⊢  
 proveit.logic.equality.equals_transitivity
15instantiation21, 19, 45, 22, 25, 23, 20, 26, 27  ⊢  
  : , : , : , : , : , :
16instantiation21, 22, 45, 23, 24, 25, 29, 30, 26, 27  ⊢  
  : , : , : , : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.e_is_real_pos
19theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
20instantiation28, 29, 30  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.multiplication.disassociation
22axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
23theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24instantiation31  ⊢  
  : , :
25instantiation31  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
27instantiation43, 34, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
29instantiation43, 34, 33  ⊢  
  : , : , :
30instantiation43, 34, 35  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32instantiation43, 39, 36  ⊢  
  : , : , :
33instantiation43, 37, 38  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
35instantiation43, 39, 40  ⊢  
  : , : , :
36assumption  ⊢  
37theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
38instantiation43, 41, 42  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
40theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
41theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
42instantiation43, 44, 45  ⊢  
  : , : , :
43theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
45theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2