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