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*	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.posnat_power_of_quotient
2	instantiation	92, 55, 69	⊢
	: , : , :
3	instantiation	92, 55, 8	⊢
	: , : , :
4	reference	50	⊢
5	instantiation	9, 66, 10, 11, 12	,  ⊢
	: , :
6	instantiation	13, 35	⊢
	:
7	instantiation	14, 35, 15, 50, 16*, 17*	⊢
	: , : , :
8	instantiation	18, 45, 22	⊢
	: , :
9	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
10	instantiation	47	⊢
	: , :
11	instantiation	92, 20, 19	⊢
	: , : , :
12	instantiation	92, 20, 21	,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.exponentiated_one
14	theorem		⊢
	proveit.numbers.exponentiation.posnat_power_of_product
15	instantiation	92, 55, 22	⊢
	: , : , :
16	instantiation	23, 24, 25, 26	⊢
	: , : , : , :
17	instantiation	27, 56	⊢
	:
18	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
19	instantiation	92, 28, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
21	instantiation	92, 30, 31	,  ⊢
	: , : , :
22	instantiation	92, 32, 33	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
24	instantiation	34, 50, 35	⊢
	: , :
25	instantiation	36, 66, 37, 38, 39	⊢
	: , : , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
27	theorem		⊢
	proveit.numbers.exponentiation.square_abs_real_simp
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
29	instantiation	92, 40, 41	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
31	instantiation	42, 43	,  ⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
33	instantiation	44, 52	⊢
	:
34	theorem		⊢
	proveit.numbers.exponentiation.exp_nat_pos_expansion
35	instantiation	92, 55, 45	⊢
	: , : , :
36	theorem		⊢
	proveit.core_expr_types.operations.operands_substitution_via_tuple
37	instantiation	46, 66	⊢
	: , :
38	instantiation	47	⊢
	: , :
39	instantiation	48	⊢
	:
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
41	instantiation	92, 49, 50	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
43	instantiation	51, 52, 53	,  ⊢
	:
44	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
45	instantiation	92, 77, 54	⊢
	: , : , :
46	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	theorem		⊢
	proveit.numbers.numerals.decimals.reduce_2_repeats
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
52	instantiation	92, 55, 56	⊢
	: , : , :
53	instantiation	57, 58	,  ⊢
	: , :
54	instantiation	92, 79, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
56	instantiation	60, 61, 62	⊢
	: , :
57	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
58	instantiation	63, 64, 80, 65	,  ⊢
	: , :
59	instantiation	92, 90, 66	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
61	instantiation	67, 68, 69, 70	⊢
	: , : , :
62	instantiation	71, 72	⊢
	:
63	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
64	instantiation	73, 74, 91, 75	⊢
	: , : , : , : , :
65	assumption		⊢
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
69	instantiation	92, 77, 76	⊢
	: , : , :
70	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
71	theorem		⊢
	proveit.numbers.negation.real_closure
72	instantiation	92, 77, 78	⊢
	: , : , :
73	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
74	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
75	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
76	instantiation	92, 79, 87	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
78	instantiation	92, 79, 80	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
80	instantiation	92, 81, 82	⊢
	: , : , :
81	instantiation	83, 84, 89	⊢
	: , :
82	assumption		⊢
83	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
84	instantiation	85, 86, 87	⊢
	: , :
85	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
86	instantiation	88, 89	⊢
	:
87	instantiation	92, 90, 91	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.negation.int_closure
89	instantiation	92, 93, 94	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
91	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
92	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
94	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements