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	reference	45	⊢
2	modus ponens	4, 5	⊢
3	modus ponens	6, 7	⊢
4	instantiation	9	⊢
	: , : , :
5	generalization	8	⊢
6	instantiation	9	⊢
	: , : , :
7	generalization	10	⊢
8	instantiation	13, 95, 11, 12	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.summation.summation_real_closure
10	instantiation	13, 95, 14, 15	,  ⊢
	: , :
11	instantiation	17, 23, 112	,  ⊢
	: , :
12	instantiation	18, 16	,  ⊢
	:
13	theorem		⊢
	proveit.numbers.division.div_real_closure
14	instantiation	17, 38, 112	,  ⊢
	: , :
15	instantiation	18, 19	,  ⊢
	:
16	instantiation	110, 21, 20	,  ⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
19	instantiation	110, 21, 22	,  ⊢
	: , : , :
20	instantiation	25, 23, 24	,  ⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
22	instantiation	25, 38, 26	,  ⊢
	:
23	instantiation	110, 98, 27	,  ⊢
	: , : , :
24	instantiation	28, 33, 29, 30	,  ⊢
	: , :
25	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
26	instantiation	31, 32	,  ⊢
	: , :
27	instantiation	110, 103, 33	,  ⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
29	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
30	instantiation	34, 35, 36	,  ⊢
	: , : , :
31	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
32	instantiation	37, 73, 38, 39	,  ⊢
	: , :
33	instantiation	110, 40, 42	,  ⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
35	instantiation	41, 50, 51, 42	,  ⊢
	: , : , :
36	instantiation	43, 44	⊢
	:
37	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
38	instantiation	45, 46, 47	,  ⊢
	: , :
39	instantiation	48, 49	,  ⊢
	: , :
40	instantiation	96, 50, 51	⊢
	: , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
44	instantiation	52, 53	⊢
	:
45	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
46	instantiation	110, 98, 54	,  ⊢
	: , : , :
47	instantiation	55, 56	⊢
	:
48	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
49	instantiation	57, 58, 59	,  ⊢
	: , : , :
50	instantiation	100, 60, 104	⊢
	: , :
51	instantiation	107, 78	⊢
	:
52	theorem		⊢
	proveit.numbers.negation.int_neg_closure
53	instantiation	61, 62, 63	⊢
	: , :
54	instantiation	110, 103, 64	,  ⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.negation.real_closure
56	instantiation	65, 73, 95, 67	⊢
	: , : , :
57	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
58	instantiation	66, 73, 95, 67	⊢
	: , : , :
59	instantiation	80, 68, 69	,  ⊢
	: , : , :
60	instantiation	107, 101	⊢
	:
61	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
62	instantiation	70, 86, 75	⊢
	:
63	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
64	instantiation	110, 71, 77	,  ⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
67	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
68	instantiation	72, 95, 73, 74, 75, 76*	⊢
	: , : , :
69	instantiation	87, 78, 101, 77	,  ⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
71	instantiation	96, 78, 101	⊢
	: , :
72	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
74	instantiation	110, 98, 79	⊢
	: , : , :
75	instantiation	80, 81, 82	⊢
	: , : , :
76	instantiation	83, 84, 85	⊢
	: , : , :
77	assumption		⊢
78	instantiation	100, 86, 104	⊢
	: , :
79	instantiation	110, 103, 86	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
81	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
82	instantiation	87, 104, 97, 93	⊢
	: , : , :
83	theorem		⊢
	proveit.logic.equality.sub_right_side_into
84	instantiation	88, 90	⊢
	:
85	instantiation	89, 90, 91	⊢
	: , :
86	instantiation	110, 92, 93	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
88	theorem		⊢
	proveit.numbers.addition.elim_zero_right
89	theorem		⊢
	proveit.numbers.addition.commutation
90	instantiation	110, 94, 95	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
92	instantiation	96, 104, 97	⊢
	: , :
93	assumption		⊢
94	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
95	instantiation	110, 98, 99	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
97	instantiation	100, 101, 102	⊢
	: , :
98	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
99	instantiation	110, 103, 104	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
101	instantiation	110, 105, 106	⊢
	: , : , :
102	instantiation	107, 108	⊢
	:
103	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
104	instantiation	110, 111, 109	⊢
	: , : , :
105	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
106	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
107	theorem		⊢
	proveit.numbers.negation.int_closure
108	instantiation	110, 111, 112	⊢
	: , : , :
109	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
110	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
111	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
112	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements