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	23, 4	⊢
	: , : , :
3	instantiation	5, 71, 68, 6, 7, 8, 40, 9, 10	⊢
	: , : , : , : , : , :
4	instantiation	11, 12, 13, 14	⊢
	: , : , : , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	instantiation	15	⊢
	: , :
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	16, 26, 17, 18	⊢
	: , :
10	instantiation	69, 47, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
12	instantiation	23, 20	⊢
	: , : , :
13	instantiation	21, 22	⊢
	: , :
14	instantiation	23, 24	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	theorem		⊢
	proveit.numbers.division.div_complex_closure
17	instantiation	25, 40, 26	⊢
	: , :
18	instantiation	27, 34, 28	⊢
	: , : , :
19	instantiation	49, 50, 29	⊢
	: , : , :
20	instantiation	30, 31, 32	⊢
	: , :
21	theorem		⊢
	proveit.logic.equality.equals_reversal
22	instantiation	33, 40, 42, 41, 34	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.substitution
24	instantiation	35, 36, 37	⊢
	: , :
25	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
26	instantiation	69, 47, 38	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.equality.sub_left_side_into
28	instantiation	39, 40	⊢
	:
29	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
30	theorem		⊢
	proveit.numbers.addition.commutation
31	instantiation	69, 47, 41	⊢
	: , : , :
32	instantiation	69, 47, 42	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
34	instantiation	43, 67	⊢
	:
35	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
36	instantiation	69, 44, 45	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
38	instantiation	69, 55, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
40	instantiation	69, 47, 48	⊢
	: , : , :
41	instantiation	49, 50, 51	⊢
	: , : , :
42	instantiation	69, 55, 52	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
45	instantiation	69, 53, 54	⊢
	: , : , :
46	instantiation	69, 62, 65	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
48	instantiation	69, 55, 56	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
50	instantiation	57, 58	⊢
	: , :
51	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
52	instantiation	69, 62, 59	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
54	instantiation	69, 60, 61	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
56	instantiation	69, 62, 63	⊢
	: , : , :
57	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
59	instantiation	64, 65	⊢
	:
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
61	instantiation	69, 66, 67	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
63	instantiation	69, 70, 68	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.negation.int_closure
65	instantiation	69, 70, 71	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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