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	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
2	reference	7	,  ⊢
3	instantiation	4, 5	,  ⊢
	: , :
4	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
5	instantiation	6, 28, 7, 8	,  ⊢
	: , :
6	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
7	instantiation	9, 10, 11	,  ⊢
	: , :
8	instantiation	12, 13	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
10	instantiation	65, 53, 14	,  ⊢
	: , : , :
11	instantiation	15, 16	⊢
	:
12	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
13	instantiation	17, 18, 19	,  ⊢
	: , : , :
14	instantiation	65, 58, 20	,  ⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.real_closure
16	instantiation	21, 28, 50, 23	⊢
	: , : , :
17	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
18	instantiation	22, 28, 50, 23	⊢
	: , : , :
19	instantiation	35, 24, 25	,  ⊢
	: , : , :
20	instantiation	65, 26, 32	,  ⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
23	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
24	instantiation	27, 50, 28, 29, 30, 31*	⊢
	: , : , :
25	instantiation	42, 33, 56, 32	,  ⊢
	: , : , :
26	instantiation	51, 33, 56	⊢
	: , :
27	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
29	instantiation	65, 53, 34	⊢
	: , : , :
30	instantiation	35, 36, 37	⊢
	: , : , :
31	instantiation	38, 39, 40	⊢
	: , : , :
32	assumption		⊢
33	instantiation	55, 41, 59	⊢
	: , :
34	instantiation	65, 58, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
36	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
37	instantiation	42, 59, 52, 48	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.equality.sub_right_side_into
39	instantiation	43, 45	⊢
	:
40	instantiation	44, 45, 46	⊢
	: , :
41	instantiation	65, 47, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
43	theorem		⊢
	proveit.numbers.addition.elim_zero_right
44	theorem		⊢
	proveit.numbers.addition.commutation
45	instantiation	65, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
47	instantiation	51, 59, 52	⊢
	: , :
48	assumption		⊢
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	instantiation	65, 53, 54	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
52	instantiation	55, 56, 57	⊢
	: , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
54	instantiation	65, 58, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
56	instantiation	65, 60, 61	⊢
	: , : , :
57	instantiation	62, 63	⊢
	:
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
59	instantiation	65, 66, 64	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
61	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
62	theorem		⊢
	proveit.numbers.negation.int_closure
63	instantiation	65, 66, 67	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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
*equality replacement requirements