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