Show the Proof

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

	step type	requirements	statement
0	instantiation	1, 2, 3	,  ⊢
	: , :
1	reference	35	⊢
2	instantiation	64, 44, 4	⊢
	: , : , :
3	instantiation	12, 5, 6	,  ⊢
	: , : , :
4	instantiation	64, 38, 7	⊢
	: , : , :
5	instantiation	28, 15, 8	,  ⊢
	: , :
6	instantiation	9, 10, 11	,  ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
8	instantiation	12, 13, 14	,  ⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	21, 63, 16, 22, 18, 23, 15, 29, 30, 25	,  ⊢
	: , : , : , : , : , :
11	instantiation	21, 22, 49, 16, 23, 17, 18, 36, 19, 29, 30, 25	,  ⊢
	: , : , : , : , : , :
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	28, 20, 25	,  ⊢
	: , :
14	instantiation	21, 22, 49, 63, 23, 24, 29, 30, 25	,  ⊢
	: , : , : , : , : , :
15	instantiation	64, 44, 26	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
17	instantiation	31	⊢
	: , :
18	instantiation	27	⊢
	: , : , :
19	instantiation	64, 44, 34	⊢
	: , : , :
20	instantiation	28, 29, 30	,  ⊢
	: , :
21	theorem		⊢
	proveit.numbers.multiplication.disassociation
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	31	⊢
	: , :
25	instantiation	64, 44, 32	⊢
	: , : , :
26	instantiation	33, 40, 34	⊢
	: , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
28	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
30	instantiation	35, 36, 37	,  ⊢
	: , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
33	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
34	instantiation	64, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
36	instantiation	64, 44, 40	⊢
	: , : , :
37	instantiation	41, 42	,  ⊢
	:
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
40	instantiation	64, 47, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.negation.complex_closure
42	instantiation	64, 44, 45	,  ⊢
	: , : , :
43	instantiation	64, 50, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
45	instantiation	64, 47, 48	,  ⊢
	: , : , :
46	instantiation	64, 62, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	64, 50, 51	,  ⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	64, 52, 53	,  ⊢
	: , : , :
52	instantiation	54, 55, 56	⊢
	: , :
53	assumption		⊢
54	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
55	instantiation	57, 58, 59	⊢
	: , :
56	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
57	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
58	instantiation	60, 61	⊢
	:
59	instantiation	64, 62, 63	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.negation.int_closure
61	instantiation	64, 65, 66	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
64	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
66	assumption		⊢