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