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