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	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.core_expr_types.tuples.shift_equivalence
2	reference	64	⊢
3	instantiation	6, 7, 8	⊢
	:
4	instantiation	57, 9	⊢
	: , :
5	instantiation	57, 10	⊢
	: , :
6	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
7	instantiation	99, 11, 12	⊢
	: , :
8	instantiation	13, 14	⊢
	: , :
9	instantiation	60, 15, 16	⊢
	: , : , :
10	instantiation	48, 75, 17, 84, 18	⊢
	: , : , :
11	instantiation	108, 106, 19	⊢
	: , : , :
12	instantiation	104, 51	⊢
	:
13	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
14	instantiation	20, 21, 22, 82, 23, 24*, 25*	⊢
	: , : , :
15	instantiation	26, 27	⊢
	: , : , :
16	instantiation	60, 28, 29	⊢
	: , : , :
17	instantiation	108, 90, 30	⊢
	: , : , :
18	instantiation	60, 31, 32	⊢
	: , : , :
19	instantiation	33, 34	⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
21	instantiation	108, 97, 35	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
23	instantiation	36, 37	⊢
	: , :
24	instantiation	60, 38, 39	⊢
	: , : , :
25	instantiation	40, 41, 42, 43	⊢
	: , : , : , :
26	axiom		⊢
	proveit.logic.equality.substitution
27	instantiation	44, 73, 84, 45*	⊢
	: , :
28	instantiation	60, 46, 47	⊢
	: , : , :
29	instantiation	48, 84, 74, 58	⊢
	: , : , :
30	instantiation	108, 97, 49	⊢
	: , : , :
31	instantiation	68, 110, 102, 69, 50, 72, 75, 73, 84	⊢
	: , : , : , : , : , :
32	instantiation	65, 75, 84, 66	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
35	instantiation	108, 103, 51	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.ordering.relax_less
37	instantiation	52, 107	⊢
	:
38	instantiation	68, 110, 102, 69, 70, 72, 53, 73, 74	⊢
	: , : , : , : , : , :
39	instantiation	54, 69, 102, 72, 70, 73, 74	⊢
	: , : , : , :
40	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
41	instantiation	60, 55, 56	⊢
	: , : , :
42	instantiation	77	⊢
	:
43	instantiation	57, 58	⊢
	: , :
44	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
45	instantiation	59, 75	⊢
	:
46	instantiation	60, 61, 62	⊢
	: , : , :
47	instantiation	63, 69, 110, 72, 75, 74, 76	⊢
	: , : , : , : , : , : , : , :
48	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
49	instantiation	108, 103, 64	⊢
	: , : , :
50	instantiation	79	⊢
	: , :
51	instantiation	99, 93, 94	⊢
	: , :
52	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
53	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
54	theorem		⊢
	proveit.numbers.addition.elim_zero_any
55	instantiation	68, 110, 102, 69, 70, 72, 75, 73, 74	⊢
	: , : , : , : , : , :
56	instantiation	65, 75, 74, 66	⊢
	: , : , :
57	theorem		⊢
	proveit.logic.equality.equals_reversal
58	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
59	theorem		⊢
	proveit.numbers.negation.double_negation
60	axiom		⊢
	proveit.logic.equality.equals_transitivity
61	instantiation	68, 69, 102, 110, 72, 70, 73, 74, 67	⊢
	: , : , : , : , : , :
62	instantiation	68, 102, 69, 70, 71, 72, 73, 74, 75, 76	⊢
	: , : , : , : , : , :
63	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
64	instantiation	99, 93, 105	⊢
	: , :
65	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
66	instantiation	77	⊢
	:
67	instantiation	108, 90, 78	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.addition.disassociation
69	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
70	instantiation	79	⊢
	: , :
71	instantiation	79	⊢
	: , :
72	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
73	instantiation	108, 90, 80	⊢
	: , : , :
74	instantiation	108, 90, 81	⊢
	: , : , :
75	instantiation	108, 90, 82	⊢
	: , : , :
76	instantiation	83, 84	⊢
	:
77	axiom		⊢
	proveit.logic.equality.equals_reflexivity
78	instantiation	108, 97, 85	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
80	instantiation	108, 97, 86	⊢
	: , : , :
81	instantiation	108, 97, 87	⊢
	: , : , :
82	instantiation	88, 89, 107	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.negation.complex_closure
84	instantiation	108, 90, 91	⊢
	: , : , :
85	instantiation	108, 103, 92	⊢
	: , : , :
86	instantiation	108, 103, 93	⊢
	: , : , :
87	instantiation	108, 103, 94	⊢
	: , : , :
88	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
89	instantiation	95, 96	⊢
	: , :
90	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
91	instantiation	108, 97, 98	⊢
	: , : , :
92	instantiation	99, 101, 100	⊢
	: , :
93	instantiation	104, 101	⊢
	:
94	instantiation	108, 109, 102	⊢
	: , : , :
95	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
97	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
98	instantiation	108, 103, 105	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
100	instantiation	104, 105	⊢
	:
101	instantiation	108, 106, 107	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
103	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
104	theorem		⊢
	proveit.numbers.negation.int_closure
105	instantiation	108, 109, 110	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
107	assumption		⊢
108	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
109	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
110	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements