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	,  ⊢
	:
1	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
2	instantiation	36, 3, 4	,  ⊢
	: , :
3	instantiation	65, 45, 5	⊢
	: , : , :
4	instantiation	13, 6, 7	,  ⊢
	: , : , :
5	instantiation	65, 39, 8	⊢
	: , : , :
6	instantiation	29, 16, 9	,  ⊢
	: , :
7	instantiation	10, 11, 12	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
9	instantiation	13, 14, 15	,  ⊢
	: , : , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	22, 64, 17, 23, 19, 24, 16, 30, 31, 26	,  ⊢
	: , : , : , : , : , :
12	instantiation	22, 23, 50, 17, 24, 18, 19, 37, 20, 30, 31, 26	,  ⊢
	: , : , : , : , : , :
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	29, 21, 26	,  ⊢
	: , :
15	instantiation	22, 23, 50, 64, 24, 25, 30, 31, 26	,  ⊢
	: , : , : , : , : , :
16	instantiation	65, 45, 27	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
18	instantiation	32	⊢
	: , :
19	instantiation	28	⊢
	: , : , :
20	instantiation	65, 45, 35	⊢
	: , : , :
21	instantiation	29, 30, 31	,  ⊢
	: , :
22	theorem		⊢
	proveit.numbers.multiplication.disassociation
23	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	32	⊢
	: , :
26	instantiation	65, 45, 33	⊢
	: , : , :
27	instantiation	34, 41, 35	⊢
	: , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
29	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
31	instantiation	36, 37, 38	,  ⊢
	: , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
34	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
35	instantiation	65, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
37	instantiation	65, 45, 41	⊢
	: , : , :
38	instantiation	42, 43	,  ⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
41	instantiation	65, 48, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.negation.complex_closure
43	instantiation	65, 45, 46	,  ⊢
	: , : , :
44	instantiation	65, 51, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
46	instantiation	65, 48, 49	,  ⊢
	: , : , :
47	instantiation	65, 63, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	65, 51, 52	,  ⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	instantiation	65, 53, 54	,  ⊢
	: , : , :
53	instantiation	55, 56, 57	⊢
	: , :
54	assumption		⊢
55	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
56	instantiation	58, 59, 60	⊢
	: , :
57	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
58	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
59	instantiation	61, 62	⊢
	:
60	instantiation	65, 63, 64	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.negation.int_closure
62	instantiation	65, 66, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
67	assumption		⊢