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, 61, 6, 7	,  ⊢
	: , :
5	theorem		⊢
	proveit.numbers.division.div_real_closure
6	instantiation	8, 18, 78	,  ⊢
	: , :
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	76, 11, 12	,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
12	instantiation	13, 18, 14	,  ⊢
	:
13	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
14	instantiation	15, 16	,  ⊢
	: , :
15	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
16	instantiation	17, 39, 18, 19	,  ⊢
	: , :
17	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
18	instantiation	20, 21, 22	,  ⊢
	: , :
19	instantiation	23, 24	,  ⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
21	instantiation	76, 64, 25	,  ⊢
	: , : , :
22	instantiation	26, 27	⊢
	:
23	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
24	instantiation	28, 29, 30	,  ⊢
	: , : , :
25	instantiation	76, 69, 31	,  ⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.real_closure
27	instantiation	32, 39, 61, 34	⊢
	: , : , :
28	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
29	instantiation	33, 39, 61, 34	⊢
	: , : , :
30	instantiation	46, 35, 36	,  ⊢
	: , : , :
31	instantiation	76, 37, 43	,  ⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
34	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
35	instantiation	38, 61, 39, 40, 41, 42*	⊢
	: , : , :
36	instantiation	53, 44, 67, 43	,  ⊢
	: , : , :
37	instantiation	62, 44, 67	⊢
	: , :
38	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
40	instantiation	76, 64, 45	⊢
	: , : , :
41	instantiation	46, 47, 48	⊢
	: , : , :
42	instantiation	49, 50, 51	⊢
	: , : , :
43	assumption		⊢
44	instantiation	66, 52, 70	⊢
	: , :
45	instantiation	76, 69, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
47	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
48	instantiation	53, 70, 63, 59	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.equality.sub_right_side_into
50	instantiation	54, 56	⊢
	:
51	instantiation	55, 56, 57	⊢
	: , :
52	instantiation	76, 58, 59	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
54	theorem		⊢
	proveit.numbers.addition.elim_zero_right
55	theorem		⊢
	proveit.numbers.addition.commutation
56	instantiation	76, 60, 61	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
58	instantiation	62, 70, 63	⊢
	: , :
59	assumption		⊢
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
61	instantiation	76, 64, 65	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
63	instantiation	66, 67, 68	⊢
	: , :
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
65	instantiation	76, 69, 70	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
67	instantiation	76, 71, 72	⊢
	: , : , :
68	instantiation	73, 74	⊢
	:
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
70	instantiation	76, 77, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
72	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
73	theorem		⊢
	proveit.numbers.negation.int_closure
74	instantiation	76, 77, 78	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
76	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements