logo

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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
2instantiation36, 28, 4  ⊢  
  : , : , :
3instantiation5, 6, 7  ⊢  
  : , : , :
4instantiation36, 32, 8  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
6instantiation22, 14, 9  ⊢  
  : , :
7instantiation10, 11, 12  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.e_is_real_pos
9instantiation22, 20, 21  ⊢  
  : , :
10axiom  ⊢  
 proveit.logic.equality.equals_transitivity
11instantiation15, 13, 38, 16, 19, 17, 14, 20, 21  ⊢  
  : , : , : , : , : , :
12instantiation15, 16, 38, 17, 18, 19, 23, 24, 20, 21  ⊢  
  : , : , : , : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
14instantiation22, 23, 24  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.multiplication.disassociation
16axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
17theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18instantiation25  ⊢  
  : , :
19instantiation25  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
21instantiation36, 28, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
23instantiation36, 28, 27  ⊢  
  : , : , :
24instantiation36, 28, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26assumption  ⊢  
27instantiation36, 30, 31  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
29instantiation36, 32, 33  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
31instantiation36, 34, 35  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
33theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
34theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
35instantiation36, 37, 38  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2