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, 5, 6, 7, 8, 9, 10	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	11	⊢
	: , :
6	instantiation	11	⊢
	: , :
7	instantiation	28, 20, 12	⊢
	: , : , :
8	instantiation	28, 20, 13	⊢
	: , : , :
9	instantiation	14, 15	⊢
	:
10	reference	15	⊢
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	17, 18, 16	⊢
	: , : , :
13	instantiation	17, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	28, 20, 21	⊢
	: , : , :
16	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
17	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
18	instantiation	22, 23	⊢
	: , :
19	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	28, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	28, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	28, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1