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	5	⊢
2	instantiation	22, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	,  ⊢
	: , : , :
4	instantiation	8, 9, 10, 11, 12, 13	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	14, 15, 61, 49, 16, 17, 20, 29, 18	,  ⊢
	: , : , : , : , : , :
7	instantiation	19, 29, 20, 21	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_eq_via_elem_eq
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
10	instantiation	24	⊢
	: , :
11	instantiation	24	⊢
	: , :
12	instantiation	22, 23	⊢
	: , : , :
13	instantiation	27	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.disassociation
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	24	⊢
	: , :
18	instantiation	25, 29	⊢
	:
19	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
20	instantiation	59, 31, 26	,  ⊢
	: , : , :
21	instantiation	27	⊢
	:
22	axiom		⊢
	proveit.logic.equality.substitution
23	instantiation	28, 29	⊢
	:
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	theorem		⊢
	proveit.numbers.negation.complex_closure
26	instantiation	59, 34, 30	,  ⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.equals_reflexivity
28	theorem		⊢
	proveit.numbers.negation.double_negation
29	instantiation	59, 31, 32	⊢
	: , : , :
30	instantiation	59, 38, 33	,  ⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	59, 34, 35	⊢
	: , : , :
33	instantiation	59, 36, 37	,  ⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	59, 38, 45	⊢
	: , : , :
36	instantiation	44, 39, 40	⊢
	: , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	59, 41, 42	⊢
	: , : , :
40	instantiation	50, 51, 43	⊢
	: , :
41	instantiation	44, 45, 46	⊢
	: , :
42	assumption		⊢
43	instantiation	59, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
45	instantiation	59, 60, 49	⊢
	: , : , :
46	instantiation	50, 51, 52	⊢
	: , :
47	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
48	instantiation	53, 54	⊢
	:
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
50	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
51	instantiation	59, 55, 56	⊢
	: , : , :
52	instantiation	57, 58	⊢
	:
53	theorem		⊢
	proveit.numbers.negation.int_neg_closure
54	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
56	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
57	theorem		⊢
	proveit.numbers.negation.int_closure
58	instantiation	59, 60, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat2