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.logic.equality.sub_left_side_into
2	instantiation	22, 4, 17	⊢
	: , : , :
3	instantiation	5, 6, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
5	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
6	instantiation	22, 10, 9	⊢
	: , : , :
7	instantiation	22, 10, 11	⊢
	: , : , :
8	instantiation	12	⊢
	:
9	instantiation	22, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
11	instantiation	15, 16, 17	⊢
	: , : , :
12	axiom		⊢
	proveit.logic.equality.equals_reflexivity
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
14	instantiation	22, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
16	instantiation	20, 21	⊢
	: , :
17	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
19	instantiation	22, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
22	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1