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	55	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	reference	17	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.range_len
5	instantiation	55, 6, 7	⊢
	: , : , :
6	instantiation	8, 9	⊢
	:
7	instantiation	31, 10, 11, 12	⊢
	: , : , : , :
8	theorem		⊢
	proveit.numbers.negation.nat_closure
9	instantiation	13, 14, 15	⊢
	:
10	instantiation	36, 37, 63, 38*	⊢
	: , :
11	instantiation	35	⊢
	:
12	instantiation	16, 17	⊢
	: , :
13	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
14	instantiation	18, 65, 80	⊢
	: , :
15	instantiation	19, 50, 68, 59, 20, 21*, 22*	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.equality.equals_reversal
17	instantiation	23, 24, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
19	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
20	instantiation	26, 79	⊢
	:
21	instantiation	62, 63, 37	⊢
	: , :
22	instantiation	27, 52, 28	⊢
	: , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	29, 30	⊢
	: , : , :
25	instantiation	31, 32, 33, 34	⊢
	: , : , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
27	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
28	instantiation	35	⊢
	:
29	axiom		⊢
	proveit.logic.equality.substitution
30	instantiation	36, 37, 70, 38*	⊢
	: , :
31	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
32	instantiation	39, 83, 88, 40, 41, 52, 64, 63	⊢
	: , : , : , : , : , :
33	instantiation	42, 46, 43, 48, 44, 52, 64, 63	⊢
	: , : , : , :
34	instantiation	45, 83, 88, 46, 47, 48, 52, 64, 63, 49*	⊢
	: , : , : , : , : , :
35	axiom		⊢
	proveit.logic.equality.equals_reflexivity
36	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
37	instantiation	86, 76, 50	⊢
	: , : , :
38	instantiation	51, 52	⊢
	:
39	theorem		⊢
	proveit.numbers.addition.disassociation
40	instantiation	54	⊢
	: , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
42	theorem		⊢
	proveit.numbers.addition.elim_zero_any
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
44	instantiation	53	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.addition.association
46	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
47	instantiation	54	⊢
	: , :
48	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
49	instantiation	55, 56, 57	⊢
	: , : , :
50	instantiation	86, 81, 58	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.negation.double_negation
52	instantiation	86, 76, 59	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	theorem		⊢
	proveit.logic.equality.sub_right_side_into
56	instantiation	60, 63, 70, 61	⊢
	: , : , :
57	instantiation	62, 63, 64	⊢
	: , :
58	instantiation	86, 84, 65	⊢
	: , : , :
59	instantiation	66, 67, 79	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
61	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
62	theorem		⊢
	proveit.numbers.addition.commutation
63	instantiation	86, 76, 68	⊢
	: , : , :
64	instantiation	69, 70	⊢
	:
65	instantiation	71, 72	⊢
	:
66	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
67	instantiation	73, 74	⊢
	: , :
68	instantiation	86, 81, 75	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.negation.complex_closure
70	instantiation	86, 76, 77	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.negation.int_closure
72	instantiation	86, 78, 79	⊢
	: , : , :
73	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
75	instantiation	86, 84, 80	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
77	instantiation	86, 81, 82	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
79	assumption		⊢
80	instantiation	86, 87, 83	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
82	instantiation	86, 84, 85	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
85	instantiation	86, 87, 88	⊢
	: , : , :
86	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
87	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements