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	15	⊢
2	instantiation	13, 4	⊢
	: , : , :
3	instantiation	15, 5, 6	,  ⊢
	: , : , :
4	instantiation	15, 7, 8	⊢
	: , : , :
5	instantiation	20, 58, 68, 21, 9, 22, 27, 34, 11	,  ⊢
	: , : , : , : , : , :
6	instantiation	10, 34, 11, 12	,  ⊢
	: , : , :
7	instantiation	13, 14	⊢
	: , : , :
8	instantiation	15, 16, 17	⊢
	: , : , :
9	instantiation	30	⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_21
11	instantiation	33, 18	,  ⊢
	:
12	instantiation	35	⊢
	:
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	19, 34, 26	⊢
	: , :
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	20, 21, 68, 58, 22, 23, 27, 24, 26	⊢
	: , : , : , : , : , :
17	instantiation	25, 26, 27, 28	⊢
	: , : , :
18	instantiation	66, 39, 29	,  ⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
20	theorem		⊢
	proveit.numbers.addition.disassociation
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	30	⊢
	: , :
24	instantiation	66, 39, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
26	instantiation	66, 39, 32	⊢
	: , : , :
27	instantiation	33, 34	⊢
	:
28	instantiation	35	⊢
	:
29	instantiation	66, 43, 36	,  ⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
31	instantiation	66, 43, 37	⊢
	: , : , :
32	instantiation	66, 43, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.negation.complex_closure
34	instantiation	66, 39, 40	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.equals_reflexivity
36	instantiation	66, 47, 41	,  ⊢
	: , : , :
37	instantiation	66, 47, 42	⊢
	: , : , :
38	instantiation	66, 47, 56	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	66, 43, 44	⊢
	: , : , :
41	instantiation	66, 45, 46	,  ⊢
	: , : , :
42	instantiation	64, 56	⊢
	:
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
44	instantiation	66, 47, 52	⊢
	: , : , :
45	instantiation	55, 48, 49	⊢
	: , :
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	59, 50, 56	⊢
	: , :
49	instantiation	64, 51	⊢
	:
50	instantiation	64, 60	⊢
	:
51	instantiation	59, 52, 56	⊢
	: , :
52	instantiation	66, 53, 54	⊢
	: , : , :
53	instantiation	55, 56, 57	⊢
	: , :
54	assumption		⊢
55	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
56	instantiation	66, 67, 58	⊢
	: , : , :
57	instantiation	59, 60, 61	⊢
	: , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
59	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
60	instantiation	66, 62, 63	⊢
	: , : , :
61	instantiation	64, 65	⊢
	:
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
63	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
64	theorem		⊢
	proveit.numbers.negation.int_closure
65	instantiation	66, 67, 68	⊢
	: , : , :
66	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat2