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	reference	3	⊢
2	instantiation	3, 4	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.substitution
4	instantiation	5, 6, 16, 7, 8*	⊢
	: , :
5	theorem		⊢
	proveit.numbers.division.div_as_mult
6	instantiation	31, 20, 26	⊢
	: , : , :
7	instantiation	9, 10	⊢
	: , :
8	instantiation	11, 12	⊢
	:
9	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
10	instantiation	13, 23, 19, 14	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
12	instantiation	15, 16, 17	⊢
	: , :
13	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
14	instantiation	18, 23, 26, 24	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
16	instantiation	31, 20, 19	⊢
	: , : , :
17	instantiation	31, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
19	instantiation	22, 23, 26, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	25, 26	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
24	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
25	theorem		⊢
	proveit.numbers.negation.real_closure
26	instantiation	31, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	31, 29, 30	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements