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	56	⊢
2	instantiation	5, 6, 7, 8, 9, 10, 11, 12*	⊢
	: , : , : , :
3	reference	53	⊢
4	instantiation	36, 13	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.general_len
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
7	instantiation	79	⊢
	: , :
8	instantiation	79	⊢
	: , :
9	instantiation	79	⊢
	: , :
10	instantiation	14, 108, 29	⊢
	: , : , :
11	instantiation	80, 15, 16	⊢
	: , : , :
12	instantiation	48, 17, 18	⊢
	: , : , :
13	instantiation	19, 20	⊢
	: , :
14	theorem		⊢
	proveit.logic.equality.sub_left_side_into
15	instantiation	21, 22	⊢
	:
16	instantiation	56, 23, 24, 25	⊢
	: , : , : , :
17	instantiation	26, 113, 27, 28, 29, 37	⊢
	: , : , : , :
18	instantiation	48, 30, 31	⊢
	: , : , :
19	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
20	instantiation	111, 32, 104	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.negation.nat_closure
22	instantiation	33, 34, 35	⊢
	:
23	instantiation	61, 62, 88, 63*	⊢
	: , :
24	instantiation	60	⊢
	:
25	instantiation	36, 37	⊢
	: , :
26	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
27	instantiation	79	⊢
	: , :
28	instantiation	79	⊢
	: , :
29	instantiation	38, 88, 42	⊢
	: , : , :
30	instantiation	64, 108, 113, 71, 39, 73, 88, 77, 40	⊢
	: , : , : , : , : , :
31	instantiation	41, 88, 77, 42	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
33	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
34	instantiation	43, 90, 105	⊢
	: , :
35	instantiation	44, 75, 93, 84, 45, 46*, 47*	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.equality.equals_reversal
37	instantiation	48, 49, 50	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
39	instantiation	79	⊢
	: , :
40	instantiation	94, 88	⊢
	:
41	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
42	instantiation	60	⊢
	:
43	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
44	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
45	instantiation	51, 104	⊢
	:
46	instantiation	87, 88, 62	⊢
	: , :
47	instantiation	52, 77, 53	⊢
	: , :
48	axiom		⊢
	proveit.logic.equality.equals_transitivity
49	instantiation	54, 55	⊢
	: , : , :
50	instantiation	56, 57, 58, 59	⊢
	: , : , : , :
51	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
52	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
53	instantiation	60	⊢
	:
54	axiom		⊢
	proveit.logic.equality.substitution
55	instantiation	61, 62, 95, 63*	⊢
	: , :
56	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
57	instantiation	64, 108, 113, 65, 66, 77, 89, 88	⊢
	: , : , : , : , : , :
58	instantiation	67, 71, 68, 73, 69, 77, 89, 88	⊢
	: , : , : , :
59	instantiation	70, 108, 113, 71, 72, 73, 77, 89, 88, 74*	⊢
	: , : , : , : , : , :
60	axiom		⊢
	proveit.logic.equality.equals_reflexivity
61	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
62	instantiation	111, 101, 75	⊢
	: , : , :
63	instantiation	76, 77	⊢
	:
64	theorem		⊢
	proveit.numbers.addition.disassociation
65	instantiation	79	⊢
	: , :
66	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
67	theorem		⊢
	proveit.numbers.addition.elim_zero_any
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
69	instantiation	78	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.addition.association
71	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
72	instantiation	79	⊢
	: , :
73	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
74	instantiation	80, 81, 82	⊢
	: , : , :
75	instantiation	111, 106, 83	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.negation.double_negation
77	instantiation	111, 101, 84	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
79	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
80	theorem		⊢
	proveit.logic.equality.sub_right_side_into
81	instantiation	85, 88, 95, 86	⊢
	: , : , :
82	instantiation	87, 88, 89	⊢
	: , :
83	instantiation	111, 109, 90	⊢
	: , : , :
84	instantiation	91, 92, 104	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
86	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
87	theorem		⊢
	proveit.numbers.addition.commutation
88	instantiation	111, 101, 93	⊢
	: , : , :
89	instantiation	94, 95	⊢
	:
90	instantiation	96, 97	⊢
	:
91	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
92	instantiation	98, 99	⊢
	: , :
93	instantiation	111, 106, 100	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.negation.complex_closure
95	instantiation	111, 101, 102	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.negation.int_closure
97	instantiation	111, 103, 104	⊢
	: , : , :
98	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
99	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
100	instantiation	111, 109, 105	⊢
	: , : , :
101	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
102	instantiation	111, 106, 107	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
104	assumption		⊢
105	instantiation	111, 112, 108	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
107	instantiation	111, 109, 110	⊢
	: , : , :
108	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
109	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
110	instantiation	111, 112, 113	⊢
	: , : , :
111	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
112	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
113	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements