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	modus ponens	1, 2	⊢
1	instantiation	3	⊢
	: , : , :
2	generalization	4	⊢
3	theorem		⊢
	proveit.numbers.summation.summation_real_closure
4	instantiation	5, 35, 6, 7	,  ⊢
	: , :
5	theorem		⊢
	proveit.numbers.division.div_real_closure
6	instantiation	8, 16, 76	,  ⊢
	: , :
7	instantiation	9, 10	,  ⊢
	:
8	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
10	instantiation	74, 11, 12	,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
12	instantiation	13, 16, 14	,  ⊢
	:
13	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
14	instantiation	15, 16, 34, 17	,  ⊢
	: , :
15	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
16	instantiation	18, 19, 20	,  ⊢
	: , :
17	instantiation	21, 22	,  ⊢
	: , :
18	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
19	instantiation	74, 42, 23	,  ⊢
	: , : , :
20	instantiation	24, 25	⊢
	:
21	theorem		⊢
	proveit.numbers.addition.subtraction.neg_difference
22	instantiation	58, 26, 27	,  ⊢
	: , : , :
23	instantiation	74, 48, 28	,  ⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.negation.real_closure
25	instantiation	29, 34, 35, 36	⊢
	: , : , :
26	instantiation	30, 31, 32	,  ⊢
	: , : , :
27	instantiation	33, 34, 35, 36	⊢
	: , : , :
28	instantiation	74, 37, 39	,  ⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
30	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
31	instantiation	38, 44, 45, 39	,  ⊢
	: , : , :
32	instantiation	40, 41	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
35	instantiation	74, 42, 43	⊢
	: , : , :
36	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
37	instantiation	61, 44, 45	⊢
	: , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
41	instantiation	46, 47	⊢
	:
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	74, 48, 63	⊢
	: , : , :
44	instantiation	67, 49, 63	⊢
	: , :
45	instantiation	72, 50	⊢
	:
46	theorem		⊢
	proveit.numbers.negation.int_neg_closure
47	instantiation	51, 52, 53	⊢
	: , :
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
49	instantiation	72, 68	⊢
	:
50	instantiation	67, 55, 63	⊢
	: , :
51	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
52	instantiation	54, 55, 56	⊢
	:
53	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
54	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
55	instantiation	74, 57, 65	⊢
	: , : , :
56	instantiation	58, 59, 60	⊢
	: , : , :
57	instantiation	61, 63, 64	⊢
	: , :
58	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
59	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
60	instantiation	62, 63, 64, 65	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
62	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
63	instantiation	74, 75, 66	⊢
	: , : , :
64	instantiation	67, 68, 69	⊢
	: , :
65	assumption		⊢
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
67	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
68	instantiation	74, 70, 71	⊢
	: , : , :
69	instantiation	72, 73	⊢
	:
70	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
71	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
72	theorem		⊢
	proveit.numbers.negation.int_closure
73	instantiation	74, 75, 76	⊢
	: , : , :
74	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
75	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
76	theorem		⊢
	proveit.numbers.numerals.decimals.nat2