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	,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_real_closure
2	reference	58	⊢
3	instantiation	5, 15, 75	,  ⊢
	: , :
4	instantiation	6, 7	,  ⊢
	:
5	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
6	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
7	instantiation	73, 8, 9	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
9	instantiation	10, 15, 11	,  ⊢
	:
10	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
11	instantiation	12, 13	,  ⊢
	: , :
12	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
13	instantiation	14, 36, 15, 16	,  ⊢
	: , :
14	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
15	instantiation	17, 18, 19	,  ⊢
	: , :
16	instantiation	20, 21	,  ⊢
	: , :
17	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
18	instantiation	73, 61, 22	,  ⊢
	: , : , :
19	instantiation	23, 24	⊢
	:
20	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
21	instantiation	25, 26, 27	,  ⊢
	: , : , :
22	instantiation	73, 66, 28	,  ⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.negation.real_closure
24	instantiation	29, 36, 58, 31	⊢
	: , : , :
25	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
26	instantiation	30, 36, 58, 31	⊢
	: , : , :
27	instantiation	43, 32, 33	,  ⊢
	: , : , :
28	instantiation	73, 34, 40	,  ⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
31	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
32	instantiation	35, 58, 36, 37, 38, 39*	⊢
	: , : , :
33	instantiation	50, 41, 64, 40	,  ⊢
	: , : , :
34	instantiation	59, 41, 64	⊢
	: , :
35	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
37	instantiation	73, 61, 42	⊢
	: , : , :
38	instantiation	43, 44, 45	⊢
	: , : , :
39	instantiation	46, 47, 48	⊢
	: , : , :
40	assumption		⊢
41	instantiation	63, 49, 67	⊢
	: , :
42	instantiation	73, 66, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
44	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
45	instantiation	50, 67, 60, 56	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.equality.sub_right_side_into
47	instantiation	51, 53	⊢
	:
48	instantiation	52, 53, 54	⊢
	: , :
49	instantiation	73, 55, 56	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
51	theorem		⊢
	proveit.numbers.addition.elim_zero_right
52	theorem		⊢
	proveit.numbers.addition.commutation
53	instantiation	73, 57, 58	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
55	instantiation	59, 67, 60	⊢
	: , :
56	assumption		⊢
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
58	instantiation	73, 61, 62	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
60	instantiation	63, 64, 65	⊢
	: , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
62	instantiation	73, 66, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
64	instantiation	73, 68, 69	⊢
	: , : , :
65	instantiation	70, 71	⊢
	:
66	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
67	instantiation	73, 74, 72	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
69	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
70	theorem		⊢
	proveit.numbers.negation.int_closure
71	instantiation	73, 74, 75	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements