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	17	⊢
2	instantiation	4, 80, 5, 6, 7*	⊢
	: , : , : , :
3	instantiation	8, 83, 58, 57, 60, 59, 21, 63, 67	⊢
	: , : , : , : , : , :
4	axiom		⊢
	proveit.numbers.summation.sum_split_last
5	instantiation	9, 51, 80	⊢
	: , :
6	instantiation	10, 71, 11, 68, 12, 13*	⊢
	: , : , :
7	instantiation	52, 14, 15	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.association
9	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
10	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
12	instantiation	16, 74	⊢
	:
13	instantiation	17, 18, 19	⊢
	: , : , :
14	instantiation	48, 20	⊢
	: , : , :
15	instantiation	56, 83, 58, 57, 60, 59, 21, 63, 67	⊢
	: , : , : , : , : , :
16	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
17	theorem		⊢
	proveit.logic.equality.sub_right_side_into
18	instantiation	22, 67	⊢
	:
19	instantiation	23, 67, 24	⊢
	: , :
20	instantiation	25, 26, 27, 28, 29, 30	⊢
	: , : , :
21	modus ponens	31, 32	⊢
22	theorem		⊢
	proveit.numbers.addition.elim_zero_right
23	theorem		⊢
	proveit.numbers.addition.commutation
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_eq_via_elem_eq
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
27	instantiation	65	⊢
	: , :
28	instantiation	65	⊢
	: , :
29	instantiation	48, 33	⊢
	: , : , :
30	instantiation	69	⊢
	:
31	instantiation	34	⊢
	: , : , :
32	generalization	35	⊢
33	modus ponens	36, 37	⊢
34	theorem		⊢
	proveit.numbers.summation.summation_complex_closure
35	instantiation	81, 70, 38	,  ⊢
	: , : , :
36	instantiation	39, 40	⊢
	: , : , : , : , : , :
37	generalization	41	⊢
38	instantiation	81, 75, 42	,  ⊢
	: , : , :
39	axiom		⊢
	proveit.core_expr_types.lambda_maps.lambda_substitution
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
41	instantiation	48, 43	⊢
	: , : , :
42	instantiation	81, 79, 44	,  ⊢
	: , : , :
43	instantiation	48, 45	⊢
	: , : , :
44	instantiation	81, 46, 47	,  ⊢
	: , : , :
45	instantiation	48, 49	⊢
	: , : , :
46	instantiation	50, 80, 51	⊢
	: , :
47	assumption		⊢
48	axiom		⊢
	proveit.logic.equality.substitution
49	instantiation	52, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
51	instantiation	81, 55, 74	⊢
	: , : , :
52	axiom		⊢
	proveit.logic.equality.equals_transitivity
53	instantiation	56, 57, 58, 83, 59, 60, 63, 67, 61	⊢
	: , : , : , : , : , :
54	instantiation	62, 67, 63, 64	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
56	theorem		⊢
	proveit.numbers.addition.disassociation
57	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
59	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
60	instantiation	65	⊢
	: , :
61	instantiation	66, 67	⊢
	:
62	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
63	instantiation	81, 70, 68	⊢
	: , : , :
64	instantiation	69	⊢
	:
65	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
66	theorem		⊢
	proveit.numbers.negation.complex_closure
67	instantiation	81, 70, 71	⊢
	: , : , :
68	instantiation	72, 73, 74	⊢
	: , : , :
69	axiom		⊢
	proveit.logic.equality.equals_reflexivity
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	81, 75, 76	⊢
	: , : , :
72	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
73	instantiation	77, 78	⊢
	: , :
74	assumption		⊢
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
76	instantiation	81, 79, 80	⊢
	: , : , :
77	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
80	instantiation	81, 82, 83	⊢
	: , : , :
81	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
82	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements