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	33	⊢
2	instantiation	4, 5, 6, 7	⊢
	: , : , : , :
3	instantiation	33, 8, 9	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	40, 10	⊢
	: , : , :
6	instantiation	40, 11	⊢
	: , : , :
7	instantiation	40, 12	⊢
	: , : , :
8	instantiation	33, 13, 14	⊢
	: , : , :
9	instantiation	28, 15	⊢
	:
10	instantiation	40, 31	⊢
	: , : , :
11	instantiation	33, 16, 17	⊢
	: , : , :
12	instantiation	40, 31	⊢
	: , : , :
13	instantiation	40, 18	⊢
	: , : , :
14	instantiation	40, 19	⊢
	: , : , :
15	instantiation	20, 94, 21, 22	⊢
	: , :
16	instantiation	33, 23, 24	⊢
	: , : , :
17	instantiation	25, 26*	⊢
	: , :
18	instantiation	28, 27	⊢
	:
19	instantiation	28, 29	⊢
	:
20	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_all
21	instantiation	30	⊢
	: , : , :
22	axiom		⊢
	proveit.logic.booleans.true_axiom
23	instantiation	40, 31	⊢
	: , : , :
24	instantiation	40, 32	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.not_equals_def
26	instantiation	33, 34, 35	⊢
	: , : , :
27	instantiation	68, 36	⊢
	: , :
28	axiom		⊢
	proveit.logic.booleans.eq_true_intro
29	instantiation	68, 37	⊢
	: , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
31	assumption		⊢
32	instantiation	65, 38, 39	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	40, 41	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.booleans.negation.not_f
36	instantiation	77, 93, 78, 42	⊢
	: , :
37	instantiation	77, 94, 78, 43	⊢
	: , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
39	instantiation	74, 75, 71	⊢
	: , :
40	axiom		⊢
	proveit.logic.equality.substitution
41	instantiation	44, 45	⊢
	:
42	instantiation	50, 81, 51, 46, 47, 48*, 49*	⊢
	: , : , :
43	instantiation	50, 82, 51, 84, 52, 53*, 54*	⊢
	: , : , :
44	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
45	instantiation	55, 56	⊢
	: , :
46	instantiation	95, 87, 57	⊢
	: , : , :
47	instantiation	61, 58	⊢
	:
48	instantiation	65, 59, 60	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
50	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
52	instantiation	61, 62	⊢
	:
53	instantiation	65, 63, 64	⊢
	: , : , :
54	instantiation	65, 66, 67	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.equality.unfold_not_equals
56	instantiation	68, 69	⊢
	: , :
57	instantiation	95, 91, 70	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
59	instantiation	72, 71	⊢
	:
60	instantiation	74, 71, 73	⊢
	: , :
61	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
62	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
63	instantiation	72, 75	⊢
	:
64	instantiation	74, 75, 73	⊢
	: , :
65	theorem		⊢
	proveit.logic.equality.sub_right_side_into
66	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
67	instantiation	74, 75, 76	⊢
	: , :
68	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
69	instantiation	77, 80, 78, 79	⊢
	: , :
70	instantiation	95, 96, 80	⊢
	: , : , :
71	instantiation	95, 83, 81	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.addition.elim_zero_right
73	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
74	theorem		⊢
	proveit.numbers.addition.commutation
75	instantiation	95, 83, 82	⊢
	: , : , :
76	instantiation	95, 83, 84	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
79	theorem		⊢
	proveit.numbers.numerals.decimals.less_4_5
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
81	instantiation	95, 87, 85	⊢
	: , : , :
82	instantiation	95, 87, 86	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
84	instantiation	95, 87, 88	⊢
	: , : , :
85	instantiation	95, 91, 89	⊢
	: , : , :
86	instantiation	95, 91, 90	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
88	instantiation	95, 91, 92	⊢
	: , : , :
89	instantiation	95, 96, 93	⊢
	: , : , :
90	instantiation	95, 96, 94	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
92	instantiation	95, 96, 97	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
95	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements