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