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	21	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	4, 5, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
5	instantiation	21, 17, 7	⊢
	: , : , :
6	instantiation	8, 9, 10	⊢
	: , :
7	instantiation	21, 19, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
9	instantiation	12, 13, 14, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	instantiation	21, 22, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
14	instantiation	21, 17, 18	⊢
	: , : , :
15	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	21, 19, 20	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	21, 22, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1