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*	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.numbers.summation.index_shift
2	instantiation	61, 50, 56	⊢
	: , :
3	reference	62	⊢
4	reference	54	⊢
5	instantiation	14, 7, 8	⊢
	: , : , :
6	instantiation	14, 9, 10	,  ⊢
	: , : , :
7	instantiation	24, 25, 72, 60, 26, 11, 12, 40, 28	⊢
	: , : , : , : , : , :
8	instantiation	29, 40, 12, 31	⊢
	: , : , :
9	instantiation	33, 13	⊢
	: , : , :
10	instantiation	14, 15, 16	,  ⊢
	: , : , :
11	instantiation	35	⊢
	: , :
12	instantiation	70, 42, 17	⊢
	: , : , :
13	instantiation	18, 19, 20, 21, 22, 23	⊢
	: , : , :
14	axiom		⊢
	proveit.logic.equality.equals_transitivity
15	instantiation	24, 25, 72, 60, 26, 27, 30, 40, 28	,  ⊢
	: , : , : , : , : , :
16	instantiation	29, 40, 30, 31	,  ⊢
	: , : , :
17	instantiation	70, 45, 32	⊢
	: , : , :
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_eq_via_elem_eq
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
20	instantiation	35	⊢
	: , :
21	instantiation	35	⊢
	: , :
22	instantiation	33, 34	⊢
	: , : , :
23	instantiation	38	⊢
	:
24	theorem		⊢
	proveit.numbers.addition.disassociation
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	instantiation	35	⊢
	: , :
28	instantiation	36, 40	⊢
	:
29	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
30	instantiation	70, 42, 37	,  ⊢
	: , : , :
31	instantiation	38	⊢
	:
32	instantiation	70, 49, 50	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.substitution
34	instantiation	39, 40	⊢
	:
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	theorem		⊢
	proveit.numbers.negation.complex_closure
37	instantiation	70, 45, 41	,  ⊢
	: , : , :
38	axiom		⊢
	proveit.logic.equality.equals_reflexivity
39	theorem		⊢
	proveit.numbers.negation.double_negation
40	instantiation	70, 42, 43	⊢
	: , : , :
41	instantiation	70, 49, 44	,  ⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	70, 45, 46	⊢
	: , : , :
44	instantiation	70, 47, 48	,  ⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	70, 49, 56	⊢
	: , : , :
47	instantiation	55, 50, 51	⊢
	: , :
48	assumption		⊢
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
50	instantiation	70, 52, 53	⊢
	: , : , :
51	instantiation	61, 62, 54	⊢
	: , :
52	instantiation	55, 56, 57	⊢
	: , :
53	assumption		⊢
54	instantiation	70, 58, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
56	instantiation	70, 71, 60	⊢
	: , : , :
57	instantiation	61, 62, 63	⊢
	: , :
58	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
59	instantiation	64, 65	⊢
	:
60	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
61	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
62	instantiation	70, 66, 67	⊢
	: , : , :
63	instantiation	68, 69	⊢
	:
64	theorem		⊢
	proveit.numbers.negation.int_neg_closure
65	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
67	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
68	theorem		⊢
	proveit.numbers.negation.int_closure
69	instantiation	70, 71, 72	⊢
	: , : , :
70	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements