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, 7, 8, 9, 10	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	reference	54	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	reference	14	⊢
8	instantiation	13, 12	⊢
	:
9	reference	25	⊢
10	instantiation	13, 14	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	instantiation	15, 16, 17	⊢
	: , :
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	instantiation	60, 40, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
16	instantiation	19, 25, 20, 21	⊢
	: , :
17	instantiation	60, 40, 22	⊢
	: , : , :
18	instantiation	60, 47, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.division.div_complex_closure
20	instantiation	24, 35, 25	⊢
	: , :
21	instantiation	26, 27, 28	⊢
	: , : , :
22	instantiation	60, 47, 29	⊢
	: , : , :
23	instantiation	60, 55, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
25	instantiation	60, 40, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.equality.sub_left_side_into
27	instantiation	32, 33	⊢
	:
28	instantiation	34, 35	⊢
	:
29	instantiation	60, 55, 36	⊢
	: , : , :
30	instantiation	60, 37, 38	⊢
	: , : , :
31	instantiation	60, 47, 39	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
34	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
35	instantiation	60, 40, 41	⊢
	: , : , :
36	instantiation	42, 59, 43	⊢
	: , :
37	instantiation	44, 46, 45	⊢
	: , :
38	assumption		⊢
39	instantiation	60, 55, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	60, 47, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
43	instantiation	60, 49, 50	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
45	instantiation	51, 52, 53	⊢
	: , :
46	instantiation	60, 61, 54	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	60, 55, 59	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
50	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
51	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
52	instantiation	60, 56, 57	⊢
	: , : , :
53	instantiation	58, 59	⊢
	:
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
55	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
57	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
58	theorem		⊢
	proveit.numbers.negation.int_closure
59	instantiation	60, 61, 62	⊢
	: , : , :
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat2