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, 6	⊢
	: , :
1	theorem		⊢
	proveit.numbers.addition.add_complex_closure
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	instantiation	7	⊢
	: , : , :
4	instantiation	9, 8	⊢
	:
5	reference	21	⊢
6	instantiation	9, 10	⊢
	:
7	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
8	instantiation	11, 12, 13	⊢
	: , :
9	theorem		⊢
	proveit.numbers.negation.complex_closure
10	instantiation	56, 36, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
12	instantiation	15, 21, 16, 17	⊢
	: , :
13	instantiation	56, 36, 18	⊢
	: , : , :
14	instantiation	56, 43, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.division.div_complex_closure
16	instantiation	20, 31, 21	⊢
	: , :
17	instantiation	22, 23, 24	⊢
	: , : , :
18	instantiation	56, 43, 25	⊢
	: , : , :
19	instantiation	56, 51, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
21	instantiation	56, 36, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.equality.sub_left_side_into
23	instantiation	28, 29	⊢
	:
24	instantiation	30, 31	⊢
	:
25	instantiation	56, 51, 32	⊢
	: , : , :
26	instantiation	56, 33, 34	⊢
	: , : , :
27	instantiation	56, 43, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
30	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
31	instantiation	56, 36, 37	⊢
	: , : , :
32	instantiation	38, 55, 39	⊢
	: , :
33	instantiation	40, 42, 41	⊢
	: , :
34	assumption		⊢
35	instantiation	56, 51, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	56, 43, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
39	instantiation	56, 45, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
41	instantiation	47, 48, 49	⊢
	: , :
42	instantiation	56, 57, 50	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
44	instantiation	56, 51, 55	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
46	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
47	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
48	instantiation	56, 52, 53	⊢
	: , : , :
49	instantiation	54, 55	⊢
	:
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
53	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
54	theorem		⊢
	proveit.numbers.negation.int_closure
55	instantiation	56, 57, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat2