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	reference	54	⊢
2	reference	14	⊢
3	instantiation	4, 5	⊢
	:
4	theorem		⊢
	proveit.numbers.negation.real_closure
5	instantiation	23, 48, 6, 7	⊢
	: , :
6	instantiation	8, 13, 33	⊢
	: , :
7	instantiation	9, 10, 11, 12	⊢
	: , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
9	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
10	instantiation	54, 14, 13	⊢
	: , : , :
11	instantiation	54, 14, 18	⊢
	: , : , :
12	instantiation	15, 16	⊢
	:
13	instantiation	17, 18, 19	⊢
	: , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
16	instantiation	54, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
18	instantiation	54, 50, 22	⊢
	: , : , :
19	instantiation	23, 48, 43, 32	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
21	instantiation	24, 25, 26	⊢
	: , :
22	instantiation	54, 52, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.division.div_real_closure
24	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
25	instantiation	54, 35, 28	⊢
	: , : , :
26	instantiation	29, 30, 31, 32	⊢
	: , :
27	instantiation	54, 55, 33	⊢
	: , : , :
28	instantiation	54, 40, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
30	instantiation	54, 35, 36	⊢
	: , : , :
31	instantiation	37, 43, 44	⊢
	:
32	instantiation	38, 39	⊢
	: , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
36	instantiation	54, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
38	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
39	instantiation	42, 47, 43, 44	⊢
	: , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
42	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
43	instantiation	45, 47, 48, 49	⊢
	: , : , :
44	instantiation	46, 47, 48, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
48	instantiation	54, 50, 51	⊢
	: , : , :
49	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
51	instantiation	54, 52, 53	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
53	instantiation	54, 55, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1