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	34	⊢
2	reference	29	⊢
3	instantiation	21, 5, 6, 7	⊢
	: , : , : , :
4	instantiation	25, 95, 77, 60, 8, 9*, 10*	⊢
	: , : , : , :
5	instantiation	34, 49, 11, 12*	⊢
	: , : , :
6	instantiation	37	⊢
	:
7	instantiation	38, 13	⊢
	: , :
8	instantiation	14, 88, 15, 16, 17, 65*, 18*	⊢
	: , : , :
9	instantiation	52, 53, 77, 54, 42, 79, 43	⊢
	: , : , : , : , : , : , :
10	instantiation	44, 19, 20	⊢
	: , : , :
11	instantiation	21, 22, 23, 24	⊢
	: , : , : , :
12	instantiation	25, 95, 77, 60, 61, 26, 27*, 28*	⊢
	: , : , : , :
13	instantiation	48, 29	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
16	instantiation	93, 89, 30	⊢
	: , : , :
17	instantiation	40, 31	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_8_1
19	instantiation	50, 32	⊢
	: , : , :
20	instantiation	52, 53, 77, 33, 55, 79, 56	⊢
	: , : , : , : , : , : , :
21	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
22	instantiation	34, 78, 35, 36*	⊢
	: , : , :
23	instantiation	37	⊢
	:
24	instantiation	38, 39	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.md_nine_add_one
26	instantiation	40, 41	⊢
	:
27	instantiation	52, 53, 77, 59, 42, 79, 43	⊢
	: , : , : , : , : , : , :
28	instantiation	44, 45, 46	⊢
	: , : , :
29	instantiation	57, 58, 54, 60	⊢
	: , :
30	instantiation	93, 91, 47	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat8
32	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
33	instantiation	66	⊢
	: , :
34	axiom		⊢
	proveit.core_expr_types.tuples.tuple_len_incr
35	instantiation	86	⊢
	: , : , : , : , : , : , : , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.add_9_1
37	axiom		⊢
	proveit.logic.equality.equals_reflexivity
38	theorem		⊢
	proveit.logic.equality.equals_reversal
39	instantiation	48, 49	⊢
	: , :
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
42	instantiation	63, 77	⊢
	: , :
43	instantiation	64, 65	⊢
	: , : , :
44	axiom		⊢
	proveit.logic.equality.equals_transitivity
45	instantiation	50, 51	⊢
	: , : , :
46	instantiation	52, 53, 77, 54, 55, 79, 56	⊢
	: , : , : , : , : , : , :
47	instantiation	93, 94, 74	⊢
	: , : , :
48	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
49	instantiation	57, 58, 59, 60, 61	⊢
	: , :
50	axiom		⊢
	proveit.logic.equality.substitution
51	instantiation	62, 83	⊢
	:
52	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
54	instantiation	66	⊢
	: , :
55	instantiation	63, 77	⊢
	: , :
56	instantiation	64, 65	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
59	instantiation	66	⊢
	: , :
60	instantiation	68, 67, 70	⊢
	: , : , :
61	instantiation	68, 69, 70	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.addition.elim_zero_left
63	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
64	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
65	instantiation	71, 72, 73	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
67	instantiation	76, 95, 74, 75	⊢
	: , : , : , : , :
68	theorem		⊢
	proveit.logic.equality.sub_left_side_into
69	instantiation	76, 77, 78, 79, 80	⊢
	: , : , : , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
71	theorem		⊢
	proveit.logic.equality.sub_right_side_into
72	instantiation	81, 83	⊢
	:
73	instantiation	82, 83, 84	⊢
	: , :
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
75	instantiation	85	⊢
	: , : , : , : , : , : , : , :
76	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
77	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
79	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
80	instantiation	86	⊢
	: , : , : , : , : , : , : , : , :
81	theorem		⊢
	proveit.numbers.addition.elim_zero_right
82	theorem		⊢
	proveit.numbers.addition.commutation
83	instantiation	93, 87, 88	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
85	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
86	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_9_typical_eq
87	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
88	instantiation	93, 89, 90	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
90	instantiation	93, 91, 92	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
92	instantiation	93, 94, 95	⊢
	: , : , :
93	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements