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	⊢
	: , : , : , :
1	reference	19	⊢
2	instantiation	5, 6, 7	⊢
	: , : , :
3	instantiation	52	⊢
	:
4	instantiation	8, 9	⊢
	: , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	10, 11	⊢
	: , : , :
7	instantiation	12, 13, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.equality.equals_reversal
9	instantiation	15, 16	⊢
	: , :
10	theorem		⊢
	proveit.core_expr_types.tuples.range_len
11	instantiation	79, 23, 17	⊢
	: , : , :
12	axiom		⊢
	proveit.logic.equality.equals_transitivity
13	instantiation	18, 60	⊢
	: , : , :
14	instantiation	19, 20, 21, 22	⊢
	: , : , : , :
15	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
16	instantiation	79, 23, 70	⊢
	: , : , :
17	instantiation	24, 35, 30, 25, 31, 26, 27, 81, 28	⊢
	: , : , : , : , :
18	axiom		⊢
	proveit.logic.equality.substitution
19	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
20	instantiation	29, 30, 35, 31, 36, 32, 40, 37, 33, 39	⊢
	: , : , : , : , : , :
21	instantiation	34, 35, 81, 36, 40, 37, 39	⊢
	: , : , : , :
22	instantiation	38, 39, 40, 41	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
24	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
25	instantiation	47	⊢
	: , :
26	instantiation	42, 43, 44	⊢
	:
27	instantiation	65, 45, 46	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
29	theorem		⊢
	proveit.numbers.addition.disassociation
30	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	instantiation	47	⊢
	: , :
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
34	theorem		⊢
	proveit.numbers.addition.elim_zero_any
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	instantiation	47	⊢
	: , :
37	instantiation	79, 50, 48	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
39	instantiation	79, 50, 49	⊢
	: , : , :
40	instantiation	79, 50, 51	⊢
	: , : , :
41	instantiation	52	⊢
	:
42	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
43	instantiation	53, 54, 55	⊢
	: , :
44	instantiation	56, 57	⊢
	: , :
45	instantiation	75, 58	⊢
	: , :
46	instantiation	59, 60	⊢
	: , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	instantiation	79, 61, 62	⊢
	: , : , :
49	instantiation	79, 63, 64	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
51	instantiation	65, 66, 70	⊢
	: , : , :
52	axiom		⊢
	proveit.logic.equality.equals_reflexivity
53	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
54	instantiation	79, 67, 70	⊢
	: , : , :
55	instantiation	79, 68, 78	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
57	instantiation	69, 70	⊢
	:
58	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
59	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
60	theorem		⊢
	proveit.numbers.negation.negated_zero
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
62	instantiation	79, 71, 72	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
64	instantiation	79, 73, 74	⊢
	: , : , :
65	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
66	instantiation	75, 76	⊢
	: , :
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
68	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
69	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
70	assumption		⊢
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
72	instantiation	79, 77, 78	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
74	instantiation	79, 80, 81	⊢
	: , : , :
75	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
77	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
78	instantiation	82, 83	⊢
	:
79	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
80	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
81	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
82	theorem		⊢
	proveit.numbers.negation.int_neg_closure
83	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1