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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 62, 5, 9, 6, 10, 15, 12, 31, 7	⊢
	: , : , : , : , : , :
3	instantiation	8, 9, 67, 10, 11, 15, 12, 31, 13	⊢
	: , : , : , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	14	⊢
	: , : , :
7	instantiation	17, 15	⊢
	:
8	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	16	⊢
	: , :
12	instantiation	17, 18	⊢
	:
13	instantiation	19	⊢
	:
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	instantiation	65, 47, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	theorem		⊢
	proveit.numbers.negation.complex_closure
18	instantiation	21, 22, 23	⊢
	: , :
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	instantiation	65, 55, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
22	instantiation	25, 31, 26, 27	⊢
	: , :
23	instantiation	65, 47, 28	⊢
	: , : , :
24	instantiation	65, 63, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.division.div_complex_closure
26	instantiation	30, 42, 31	⊢
	: , :
27	instantiation	32, 33, 34	⊢
	: , : , :
28	instantiation	65, 55, 35	⊢
	: , : , :
29	instantiation	65, 36, 37	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
31	instantiation	65, 47, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.equality.sub_left_side_into
33	instantiation	39, 40	⊢
	:
34	instantiation	41, 42	⊢
	:
35	instantiation	65, 63, 43	⊢
	: , : , :
36	instantiation	44, 54, 45	⊢
	: , :
37	assumption		⊢
38	instantiation	65, 55, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
41	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
42	instantiation	65, 47, 48	⊢
	: , : , :
43	instantiation	49, 64, 50	⊢
	: , :
44	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
45	instantiation	51, 52, 53	⊢
	: , :
46	instantiation	65, 63, 54	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
48	instantiation	65, 55, 56	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
50	instantiation	65, 57, 58	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
52	instantiation	65, 59, 60	⊢
	: , : , :
53	instantiation	61, 64	⊢
	:
54	instantiation	65, 66, 62	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
56	instantiation	65, 63, 64	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
58	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
60	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
61	theorem		⊢
	proveit.numbers.negation.int_closure
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	instantiation	65, 66, 67	⊢
	: , : , :
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat2