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