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	,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	45	⊢
4	reference	33	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	43, 15, 11	,  ⊢
	: , : , :
8	reference	13	⊢
9	instantiation	12, 13	⊢
	:
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	43, 18, 14	,  ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.negation.complex_closure
13	instantiation	43, 15, 16	⊢
	: , : , :
14	instantiation	43, 22, 17	,  ⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	43, 18, 19	⊢
	: , : , :
17	instantiation	43, 20, 21	,  ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	43, 22, 29	⊢
	: , : , :
20	instantiation	28, 23, 24	⊢
	: , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	43, 25, 26	⊢
	: , : , :
24	instantiation	34, 35, 27	⊢
	: , :
25	instantiation	28, 29, 30	⊢
	: , :
26	assumption		⊢
27	instantiation	43, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
29	instantiation	43, 44, 33	⊢
	: , : , :
30	instantiation	34, 35, 36	⊢
	: , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
32	instantiation	37, 38	⊢
	:
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
34	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
35	instantiation	43, 39, 40	⊢
	: , : , :
36	instantiation	41, 42	⊢
	:
37	theorem		⊢
	proveit.numbers.negation.int_neg_closure
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
40	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
41	theorem		⊢
	proveit.numbers.negation.int_closure
42	instantiation	43, 44, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2