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