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.rounding.ceil_increasing_less_eq
2	instantiation	5, 71, 8, 6	⊢
	: , :
3	instantiation	5, 71, 9, 6	⊢
	: , :
4	instantiation	7, 71, 8, 9, 10, 21	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.logarithms.log_real_pos_real_closure
6	instantiation	11, 12	⊢
	: , :
7	theorem		⊢
	proveit.numbers.logarithms.log_increasing_less_eq
8	instantiation	93, 75, 13	⊢
	: , : , :
9	instantiation	14, 71, 25	⊢
	: , :
10	instantiation	15, 66, 16, 17, 18, 19*	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
12	instantiation	20, 95, 88, 21	⊢
	: , :
13	instantiation	50, 22, 76	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
15	theorem		⊢
	proveit.numbers.addition.weak_bound_via_right_term_bound
16	instantiation	93, 89, 23	⊢
	: , : , :
17	instantiation	93, 24, 25	⊢
	: , : , :
18	instantiation	26, 27, 65, 71, 28	⊢
	: , : , :
19	instantiation	29, 80, 92, 30*, 31*, 32*	⊢
	: , : , : , :
20	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
21	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
22	instantiation	93, 81, 33	⊢
	: , : , :
23	instantiation	93, 34, 35	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
25	instantiation	36, 37, 65, 38	⊢
	: , :
26	theorem		⊢
	proveit.numbers.division.weak_div_from_denom_bound__all_pos
27	instantiation	93, 39, 40	⊢
	: , : , :
28	instantiation	41, 66, 78, 86, 42, 43, 44*	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
30	instantiation	45, 57	⊢
	:
31	instantiation	46, 47, 48	⊢
	: , : , :
32	instantiation	49, 57	⊢
	:
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
35	instantiation	50, 51, 76	⊢
	: , :
36	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
37	instantiation	93, 75, 51	⊢
	: , : , :
38	instantiation	52, 53	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonneg_within_real_nonneg
40	instantiation	93, 54, 95	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.multiplication.weak_bound_via_right_factor_bound
42	instantiation	55, 85, 86, 87	⊢
	: , : , :
43	instantiation	56, 88	⊢
	:
44	instantiation	68, 57	⊢
	:
45	theorem		⊢
	proveit.numbers.division.frac_one_denom
46	axiom		⊢
	proveit.logic.equality.equals_transitivity
47	instantiation	58, 88, 59, 60, 61, 62	⊢
	: , : , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
49	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
50	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
51	instantiation	93, 81, 63	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
53	instantiation	93, 64, 65	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_within_rational_nonneg
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_upper_bound
56	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
57	instantiation	93, 74, 66	⊢
	: , : , :
58	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
59	instantiation	67	⊢
	: , :
60	instantiation	67	⊢
	: , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
62	instantiation	68, 69	⊢
	:
63	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
65	instantiation	70, 71, 72	⊢
	: , :
66	instantiation	93, 89, 73	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
68	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
69	instantiation	93, 74, 86	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
71	instantiation	93, 75, 76	⊢
	: , : , :
72	instantiation	77, 78, 79	⊢
	:
73	instantiation	93, 91, 80	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
76	instantiation	93, 81, 82	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
78	instantiation	83, 85, 86, 87	⊢
	: , : , :
79	instantiation	84, 85, 86, 87	⊢
	: , : , :
80	instantiation	93, 94, 88	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
82	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
83	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
84	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
86	instantiation	93, 89, 90	⊢
	: , : , :
87	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
90	instantiation	93, 91, 92	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
92	instantiation	93, 94, 95	⊢
	: , : , :
93	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements