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	⊢
	: , :
1	reference	11	⊢
2	instantiation	21, 3	⊢
	: , : , :
3	instantiation	23, 4, 5	⊢
	: , : , :
4	instantiation	21, 6	⊢
	: , : , :
5	instantiation	7, 59, 8, 9, 10*	⊢
	: , :
6	instantiation	11, 12	⊢
	: , :
7	theorem		⊢
	proveit.numbers.division.div_as_mult
8	instantiation	13, 56, 28	⊢
	: , :
9	instantiation	14, 86, 15, 42, 16	⊢
	: , :
10	instantiation	23, 17, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.equality.equals_reversal
12	instantiation	19, 56, 43, 85, 44*	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
14	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
15	instantiation	48	⊢
	: , :
16	instantiation	87, 53, 20	⊢
	: , : , :
17	instantiation	21, 22	⊢
	: , : , :
18	instantiation	23, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
20	instantiation	87, 64, 26	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.substitution
22	instantiation	27, 56, 28, 46, 62, 29, 30*, 31*	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	32, 89, 86, 34, 36, 35, 59, 37, 38	⊢
	: , : , : , : , : , :
25	instantiation	33, 34, 86, 35, 36, 37, 38	⊢
	: , : , : , :
26	instantiation	87, 71, 39	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
28	instantiation	87, 76, 40	⊢
	: , : , :
29	instantiation	70, 52	⊢
	:
30	instantiation	41, 42, 43, 44*	⊢
	: , :
31	instantiation	45, 56, 77, 46, 62, 47*	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.multiplication.disassociation
33	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
34	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
35	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
36	instantiation	48	⊢
	: , :
37	instantiation	87, 76, 49	⊢
	: , : , :
38	instantiation	50, 56, 51	⊢
	: , :
39	instantiation	87, 78, 52	⊢
	: , : , :
40	instantiation	83, 84, 52	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
42	instantiation	87, 53, 54	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
44	instantiation	55, 56	⊢
	:
45	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
46	instantiation	57, 67	⊢
	:
47	instantiation	58, 69, 59, 60*	⊢
	: , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
49	instantiation	61, 67, 66, 62	⊢
	: , :
50	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
51	instantiation	63, 69	⊢
	:
52	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
53	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
54	instantiation	87, 64, 65	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
56	instantiation	87, 76, 66	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.negation.real_closure
58	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
59	instantiation	87, 76, 67	⊢
	: , : , :
60	instantiation	68, 69	⊢
	:
61	theorem		⊢
	proveit.numbers.division.div_real_closure
62	instantiation	70, 79	⊢
	:
63	theorem		⊢
	proveit.numbers.negation.complex_closure
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
65	instantiation	87, 71, 72	⊢
	: , : , :
66	instantiation	87, 74, 73	⊢
	: , : , :
67	instantiation	87, 74, 75	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
69	instantiation	87, 76, 77	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
71	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
72	instantiation	87, 78, 79	⊢
	: , : , :
73	instantiation	87, 81, 80	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
75	instantiation	87, 81, 82	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
77	instantiation	83, 84, 85	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
80	instantiation	87, 88, 86	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
82	instantiation	87, 88, 89	⊢
	: , : , :
83	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
84	instantiation	90, 91	⊢
	: , :
85	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
86	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
87	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
89	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
90	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements