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*	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.linear_algebra.addition.vec_sum_index_shift
2	reference	68	⊢
3	instantiation	8, 38, 9	⊢
	: , :
4	reference	39	⊢
5	instantiation	10, 53, 11	⊢
	: , :
6	instantiation	35, 12, 13	⊢
	: , : , :
7	instantiation	14, 53	⊢
	:
8	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
9	instantiation	51, 69	⊢
	:
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
11	instantiation	15	⊢
	:
12	instantiation	16, 43, 76, 74, 44, 17, 23, 46, 24	⊢
	: , : , : , : , : , :
13	instantiation	35, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.negation.double_negation
15	axiom		⊢
	proveit.logic.equality.equals_reflexivity
16	theorem		⊢
	proveit.numbers.addition.disassociation
17	instantiation	54	⊢
	: , :
18	instantiation	20, 74, 43, 44, 23, 46, 24	⊢
	: , : , : , : , : , : , :
19	instantiation	21, 43, 76, 74, 44, 22, 23, 24, 46, 25*	⊢
	: , : , : , : , : , :
20	theorem		⊢
	proveit.numbers.addition.leftward_commutation
21	theorem		⊢
	proveit.numbers.addition.association
22	instantiation	54	⊢
	: , :
23	instantiation	77, 62, 26	⊢
	: , : , :
24	instantiation	77, 62, 27	⊢
	: , : , :
25	instantiation	35, 28, 29, 30*	⊢
	: , : , :
26	instantiation	77, 66, 31	⊢
	: , : , :
27	instantiation	77, 66, 32	⊢
	: , : , :
28	instantiation	47, 33	⊢
	: , : , :
29	instantiation	40, 34	⊢
	: , :
30	instantiation	35, 36, 37	⊢
	: , : , :
31	instantiation	77, 70, 38	⊢
	: , : , :
32	instantiation	77, 70, 39	⊢
	: , : , :
33	instantiation	40, 41	⊢
	: , :
34	instantiation	42, 43, 76, 74, 44, 45, 58, 46, 53	⊢
	: , : , : , : , : , :
35	axiom		⊢
	proveit.logic.equality.equals_transitivity
36	instantiation	47, 48	⊢
	: , : , :
37	instantiation	49, 53	⊢
	:
38	instantiation	50, 72, 68	⊢
	: , :
39	instantiation	51, 68	⊢
	:
40	theorem		⊢
	proveit.logic.equality.equals_reversal
41	instantiation	52, 53	⊢
	:
42	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
43	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
44	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
45	instantiation	54	⊢
	: , :
46	instantiation	55, 57	⊢
	:
47	axiom		⊢
	proveit.logic.equality.substitution
48	instantiation	56, 57, 58, 59	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
50	theorem		⊢
	proveit.numbers.multiplication.mult_int_closure_bin
51	theorem		⊢
	proveit.numbers.negation.int_closure
52	theorem		⊢
	proveit.numbers.negation.mult_neg_one_left
53	instantiation	77, 62, 60	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	theorem		⊢
	proveit.numbers.negation.complex_closure
56	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
57	instantiation	77, 62, 61	⊢
	: , : , :
58	instantiation	77, 62, 63	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
60	instantiation	77, 66, 64	⊢
	: , : , :
61	instantiation	77, 66, 65	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
63	instantiation	77, 66, 67	⊢
	: , : , :
64	instantiation	77, 70, 68	⊢
	: , : , :
65	instantiation	77, 70, 69	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
67	instantiation	77, 70, 72	⊢
	: , : , :
68	instantiation	71, 72, 73	⊢
	: , :
69	instantiation	77, 75, 74	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
71	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
72	instantiation	77, 75, 76	⊢
	: , : , :
73	instantiation	77, 78, 79	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
75	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
76	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
77	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
78	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
79	assumption		⊢
*equality replacement requirements