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	58, 6, 5	⊢
	: , : , :
3	instantiation	58, 6, 7	⊢
	: , : , :
4	instantiation	8	⊢
	:
5	instantiation	9, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
7	instantiation	58, 54, 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	58, 56, 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, 33, 19, 20	⊢
	: , :
18	theorem		⊢
	proveit.numbers.logarithms.log_real_pos_real_closure
19	instantiation	21, 33, 22	⊢
	: , :
20	instantiation	23, 24	⊢
	: , :
21	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
22	instantiation	25, 26, 27	⊢
	: , :
23	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
24	instantiation	28, 60, 29, 30	⊢
	: , :
25	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
26	instantiation	31, 32, 33, 34	⊢
	: , :
27	instantiation	35, 36, 37	⊢
	: , :
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	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
32	instantiation	58, 39, 38	⊢
	: , : , :
33	instantiation	58, 39, 40	⊢
	: , : , :
34	instantiation	41, 48	⊢
	:
35	theorem		⊢
	proveit.numbers.exponentiation.exp_real_pos_closure
36	instantiation	42, 43, 44	⊢
	:
37	instantiation	45, 52	⊢
	:
38	instantiation	58, 47, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
40	instantiation	58, 47, 48	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
43	instantiation	49, 51, 52, 53	⊢
	: , : , :
44	instantiation	50, 51, 52, 53	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.negation.real_closure
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
48	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
52	instantiation	58, 54, 55	⊢
	: , : , :
53	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
55	instantiation	58, 56, 57	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	58, 59, 60	⊢
	: , : , :
58	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
60	theorem		⊢
	proveit.numbers.numerals.decimals.nat1