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.logarithms.log_real_pos_real_closure
2	reference	17	⊢
3	instantiation	5, 17, 6	⊢
	: , :
4	instantiation	7, 8	⊢
	: , :
5	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
6	instantiation	9, 10, 11	⊢
	: , :
7	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
8	instantiation	12, 44, 13, 14	⊢
	: , :
9	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
10	instantiation	15, 16, 17, 18	⊢
	: , :
11	instantiation	19, 20, 21	⊢
	: , :
12	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
14	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
15	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
16	instantiation	42, 23, 22	⊢
	: , : , :
17	instantiation	42, 23, 24	⊢
	: , : , :
18	instantiation	25, 32	⊢
	:
19	theorem		⊢
	proveit.numbers.exponentiation.exp_real_pos_closure
20	instantiation	26, 27, 28	⊢
	:
21	instantiation	29, 36	⊢
	:
22	instantiation	42, 31, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
24	instantiation	42, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
27	instantiation	33, 35, 36, 37	⊢
	: , : , :
28	instantiation	34, 35, 36, 37	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.negation.real_closure
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
36	instantiation	42, 38, 39	⊢
	: , : , :
37	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	42, 40, 41	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1