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	33	⊢
2	instantiation	67, 47, 4	⊢
	: , : , :
3	instantiation	12, 5, 6	,  ⊢
	: , : , :
4	instantiation	67, 40, 7	⊢
	: , : , :
5	instantiation	27, 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	20, 66, 16, 21, 18, 22, 15, 28, 29, 24	,  ⊢
	: , : , : , : , : , :
11	instantiation	20, 21, 52, 16, 22, 17, 18, 34, 25, 28, 29, 24	,  ⊢
	: , : , : , : , : , :
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	27, 19, 24	,  ⊢
	: , :
14	instantiation	20, 21, 52, 66, 22, 23, 28, 29, 24	,  ⊢
	: , : , : , : , : , :
15	instantiation	27, 34, 25	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
17	instantiation	30	⊢
	: , :
18	instantiation	26	⊢
	: , : , :
19	instantiation	27, 28, 29	,  ⊢
	: , :
20	theorem		⊢
	proveit.numbers.multiplication.disassociation
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	30	⊢
	: , :
24	instantiation	67, 47, 31	⊢
	: , : , :
25	instantiation	67, 47, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
27	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
29	instantiation	33, 34, 35	,  ⊢
	: , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
31	instantiation	36, 37, 38, 39	⊢
	: , : , :
32	instantiation	67, 40, 41	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
34	instantiation	67, 47, 42	⊢
	: , : , :
35	instantiation	43, 44	,  ⊢
	:
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
38	instantiation	67, 50, 45	⊢
	: , : , :
39	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
42	instantiation	67, 50, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.negation.complex_closure
44	instantiation	67, 47, 48	,  ⊢
	: , : , :
45	instantiation	67, 53, 62	⊢
	: , : , :
46	instantiation	67, 53, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
48	instantiation	67, 50, 51	,  ⊢
	: , : , :
49	instantiation	67, 65, 52	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
51	instantiation	67, 53, 54	,  ⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	instantiation	67, 55, 56	,  ⊢
	: , : , :
55	instantiation	57, 58, 59	⊢
	: , :
56	assumption		⊢
57	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
58	instantiation	60, 61, 62	⊢
	: , :
59	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
60	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
61	instantiation	63, 64	⊢
	:
62	instantiation	67, 65, 66	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.negation.int_closure
64	instantiation	67, 68, 69	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
67	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
69	assumption		⊢