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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4	⊢
	: , :
3	theorem		⊢
	proveit.logic.equality.equals_reversal
4	instantiation	5, 38, 6, 13, 7, 8, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.division.distribute_frac_through_sum
6	instantiation	10	⊢
	: , :
7	instantiation	58, 18, 52	⊢
	: , : , :
8	instantiation	58, 18, 11	⊢
	: , : , :
9	instantiation	12, 13, 14, 15	⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	16, 17, 37	⊢
	: , :
12	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
13	instantiation	58, 18, 17	⊢
	: , : , :
14	instantiation	58, 18, 22	⊢
	: , : , :
15	instantiation	19, 20	⊢
	:
16	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
17	instantiation	21, 22, 23	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
20	instantiation	58, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
22	instantiation	58, 54, 26	⊢
	: , : , :
23	instantiation	27, 52, 47, 36	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
25	instantiation	28, 29, 30	⊢
	: , :
26	instantiation	58, 56, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.division.div_real_closure
28	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
29	instantiation	58, 39, 32	⊢
	: , : , :
30	instantiation	33, 34, 35, 36	⊢
	: , :
31	instantiation	58, 59, 37	⊢
	: , : , :
32	instantiation	58, 44, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
34	instantiation	58, 39, 40	⊢
	: , : , :
35	instantiation	41, 47, 48	⊢
	:
36	instantiation	42, 43	⊢
	: , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
40	instantiation	58, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
42	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
43	instantiation	46, 51, 47, 48	⊢
	: , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
46	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
47	instantiation	49, 51, 52, 53	⊢
	: , : , :
48	instantiation	50, 51, 52, 53	⊢
	: , : , :
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