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	20	⊢
2	instantiation	4, 69, 5, 16, 6, 7, 8	⊢
	: , : , : , :
3	instantiation	9, 10	⊢
	:
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	instantiation	23	⊢
	: , : , :
6	instantiation	13, 11*	⊢
	: , :
7	instantiation	13, 12*	⊢
	: , :
8	instantiation	13, 14*	⊢
	: , :
9	axiom		⊢
	proveit.logic.booleans.eq_true_intro
10	instantiation	15, 69, 16, 17	⊢
	: , :
11	instantiation	20, 18, 22	⊢
	: , : , :
12	instantiation	20, 19, 22	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.not_equals_def
14	instantiation	20, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_all
16	instantiation	23	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.booleans.true_axiom
18	instantiation	26, 24	⊢
	: , : , :
19	instantiation	26, 25	⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	26, 27	⊢
	: , : , :
22	axiom		⊢
	proveit.logic.booleans.negation.not_f
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
24	instantiation	30, 28	⊢
	:
25	instantiation	30, 29	⊢
	:
26	axiom		⊢
	proveit.logic.equality.substitution
27	instantiation	30, 31	⊢
	:
28	instantiation	34, 32	⊢
	: , :
29	instantiation	34, 33	⊢
	: , :
30	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
31	instantiation	34, 35	⊢
	: , :
32	instantiation	38, 36	⊢
	: , :
33	instantiation	38, 37	⊢
	: , :
34	theorem		⊢
	proveit.logic.equality.unfold_not_equals
35	instantiation	38, 39	⊢
	: , :
36	instantiation	42, 79, 43, 40	⊢
	: , :
37	instantiation	42, 82, 43, 41	⊢
	: , :
38	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
39	instantiation	42, 69, 43, 44	⊢
	: , :
40	instantiation	49, 70, 50, 45, 46, 47*, 48*	⊢
	: , : , :
41	instantiation	49, 72, 50, 51, 52*, 53*	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
44	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
45	instantiation	80, 74, 54	⊢
	: , : , :
46	instantiation	58, 55	⊢
	:
47	instantiation	60, 56, 57	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
49	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
51	instantiation	58, 59	⊢
	:
52	instantiation	60, 61, 62	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
54	instantiation	80, 77, 63	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
56	instantiation	65, 64	⊢
	:
57	instantiation	66, 64, 68	⊢
	: , :
58	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
59	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
60	theorem		⊢
	proveit.logic.equality.sub_right_side_into
61	instantiation	65, 67	⊢
	:
62	instantiation	66, 67, 68	⊢
	: , :
63	instantiation	80, 81, 69	⊢
	: , : , :
64	instantiation	80, 71, 70	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.addition.elim_zero_right
66	theorem		⊢
	proveit.numbers.addition.commutation
67	instantiation	80, 71, 72	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
70	instantiation	80, 74, 73	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
72	instantiation	80, 74, 75	⊢
	: , : , :
73	instantiation	80, 77, 76	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
75	instantiation	80, 77, 78	⊢
	: , : , :
76	instantiation	80, 81, 79	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
78	instantiation	80, 81, 82	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
80	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements