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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 40, 69, 6, 7, 10, 11, 8	⊢
	: , : , : , : , : , :
3	instantiation	9, 10, 11, 12	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	13	⊢
	: , :
8	instantiation	67, 15, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
10	instantiation	67, 15, 19	⊢
	: , : , :
11	instantiation	67, 15, 16	⊢
	: , : , :
12	instantiation	17	⊢
	:
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	instantiation	18, 19	⊢
	:
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	67, 63, 20	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	theorem		⊢
	proveit.numbers.negation.real_closure
19	instantiation	21, 22, 23	⊢
	: , : , :
20	instantiation	67, 65, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
22	instantiation	25, 26	⊢
	: , :
23	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
24	instantiation	27, 28	⊢
	:
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27	axiom		⊢
	proveit.numbers.rounding.ceil_is_an_int
28	instantiation	29, 49, 30, 31	⊢
	: , :
29	theorem		⊢
	proveit.numbers.logarithms.log_real_pos_real_closure
30	instantiation	32, 49, 33	⊢
	: , :
31	instantiation	34, 35	⊢
	: , :
32	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
33	instantiation	36, 37, 47, 38	⊢
	: , :
34	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
35	instantiation	39, 69, 40, 41	⊢
	: , :
36	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
37	instantiation	67, 51, 42	⊢
	: , : , :
38	instantiation	43, 44	⊢
	:
39	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
41	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
42	instantiation	67, 56, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
44	instantiation	67, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
47	instantiation	48, 49, 50	⊢
	: , :
48	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
49	instantiation	67, 51, 52	⊢
	: , : , :
50	instantiation	53, 54, 55	⊢
	:
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
52	instantiation	67, 56, 57	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
54	instantiation	58, 60, 61, 62	⊢
	: , : , :
55	instantiation	59, 60, 61, 62	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
57	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
61	instantiation	67, 63, 64	⊢
	: , : , :
62	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
64	instantiation	67, 65, 66	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
66	instantiation	67, 68, 69	⊢
	: , : , :
67	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat1