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_split_after
2	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
3	reference	31	⊢
4	instantiation	42, 8, 43	⊢
	: , :
5	instantiation	9, 10	⊢
	: , :
6	instantiation	11, 12, 13, 61, 14, 15*, 16*	⊢
	: , : , :
7	instantiation	26, 17, 18	⊢
	: , : , :
8	instantiation	19, 69, 67	⊢
	: , :
9	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
10	instantiation	20, 23	⊢
	:
11	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
12	instantiation	73, 63, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
14	instantiation	22, 23	⊢
	:
15	instantiation	26, 24, 25	⊢
	: , : , :
16	instantiation	26, 27, 28	⊢
	: , : , :
17	instantiation	35, 50, 72, 65, 51, 36, 58, 39, 53	⊢
	: , : , : , : , : , :
18	instantiation	29, 53, 58, 30	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.mult_int_closure_bin
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
21	instantiation	73, 66, 31	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
23	instantiation	32, 72, 70	⊢
	: , :
24	instantiation	35, 65, 72, 50, 36, 51, 33, 58, 39	⊢
	: , : , : , : , : , :
25	instantiation	34, 50, 72, 51, 36, 58, 39	⊢
	: , : , : , :
26	axiom		⊢
	proveit.logic.equality.equals_transitivity
27	instantiation	35, 65, 72, 50, 36, 51, 58, 39	⊢
	: , : , : , : , : , :
28	instantiation	37, 50, 72, 65, 51, 38, 58, 39, 40*	⊢
	: , : , : , : , : , :
29	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
30	instantiation	41	⊢
	:
31	instantiation	42, 67, 43	⊢
	: , :
32	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
34	theorem		⊢
	proveit.numbers.addition.elim_zero_any
35	theorem		⊢
	proveit.numbers.addition.disassociation
36	instantiation	55	⊢
	: , :
37	theorem		⊢
	proveit.numbers.addition.association
38	instantiation	55	⊢
	: , :
39	instantiation	44, 53	⊢
	:
40	instantiation	45, 46, 47*	⊢
	: , :
41	axiom		⊢
	proveit.logic.equality.equals_reflexivity
42	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
43	instantiation	48, 62	⊢
	:
44	theorem		⊢
	proveit.numbers.negation.complex_closure
45	theorem		⊢
	proveit.logic.equality.equals_reversal
46	instantiation	49, 50, 72, 65, 51, 52, 53, 58, 54*	⊢
	: , : , : , : , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
48	theorem		⊢
	proveit.numbers.negation.int_closure
49	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
50	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
51	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
52	instantiation	55	⊢
	: , :
53	instantiation	73, 60, 56	⊢
	: , : , :
54	instantiation	57, 58	⊢
	:
55	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
56	instantiation	73, 63, 59	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
58	instantiation	73, 60, 61	⊢
	: , : , :
59	instantiation	73, 66, 62	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
61	instantiation	73, 63, 64	⊢
	: , : , :
62	instantiation	73, 71, 65	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
64	instantiation	73, 66, 67	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
66	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
67	instantiation	68, 69, 70	⊢
	: , :
68	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
69	instantiation	73, 71, 72	⊢
	: , : , :
70	instantiation	73, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
75	assumption		⊢
*equality replacement requirements