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