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*, 5*	⊢
	: , :
1	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.exp_neg2pi_i_x
2	reference	41	⊢
3	reference	16	⊢
4	instantiation	7, 6, 9, 10	⊢
	: , :
5	instantiation	7, 8, 9, 10	⊢
	: , :
6	instantiation	13, 11, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
8	instantiation	13, 14, 15	⊢
	: , : , :
9	instantiation	69, 44, 16	⊢
	: , : , :
10	instantiation	17, 66	⊢
	:
11	instantiation	37, 28, 18	⊢
	: , :
12	instantiation	22, 19, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	37, 28, 21	⊢
	: , :
15	instantiation	22, 23, 24	⊢
	: , : , :
16	instantiation	69, 48, 25	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
18	instantiation	37, 34, 27	⊢
	: , :
19	instantiation	29, 71, 61, 30, 26, 31, 28, 34, 27	⊢
	: , : , : , : , : , :
20	instantiation	29, 30, 61, 31, 32, 26, 38, 39, 34, 27	⊢
	: , : , : , : , : , :
21	instantiation	37, 34, 35	⊢
	: , :
22	axiom		⊢
	proveit.logic.equality.equals_transitivity
23	instantiation	29, 71, 61, 30, 33, 31, 28, 34, 35	⊢
	: , : , : , : , : , :
24	instantiation	29, 30, 61, 31, 32, 33, 38, 39, 34, 35	⊢
	: , : , : , : , : , :
25	instantiation	69, 54, 63	⊢
	: , : , :
26	instantiation	40	⊢
	: , :
27	instantiation	69, 44, 36	⊢
	: , : , :
28	instantiation	37, 38, 39	⊢
	: , :
29	theorem		⊢
	proveit.numbers.multiplication.disassociation
30	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	instantiation	40	⊢
	: , :
33	instantiation	40	⊢
	: , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
35	instantiation	69, 44, 41	⊢
	: , : , :
36	instantiation	69, 48, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
38	instantiation	69, 44, 43	⊢
	: , : , :
39	instantiation	69, 44, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
41	instantiation	69, 48, 46	⊢
	: , : , :
42	instantiation	69, 54, 47	⊢
	: , : , :
43	instantiation	69, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
45	instantiation	69, 50, 51	⊢
	: , : , :
46	instantiation	69, 54, 60	⊢
	: , : , :
47	instantiation	69, 52, 53	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	69, 54, 55	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
52	instantiation	56, 57, 58	⊢
	: , :
53	instantiation	59, 60, 66	⊢
	: , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	69, 70, 61	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
57	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
58	instantiation	62, 63, 64	⊢
	: , :
59	theorem		⊢
	proveit.numbers.modular.mod_natpos_in_interval
60	assumption		⊢
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
62	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
63	instantiation	69, 65, 66	⊢
	: , : , :
64	instantiation	67, 68	⊢
	:
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
66	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
67	theorem		⊢
	proveit.numbers.negation.int_closure
68	instantiation	69, 70, 71	⊢
	: , : , :
69	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements