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	10	⊢
2	instantiation	21, 4	⊢
	: , : , :
3	instantiation	10, 5, 6	⊢
	: , : , :
4	instantiation	7, 74, 25, 27	⊢
	: , : , : , : , : , : , :
5	instantiation	8, 65, 9	⊢
	: , : , :
6	instantiation	10, 11, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
8	axiom		⊢
	proveit.logic.sets.enumeration.enum_set_def
9	instantiation	13	⊢
	: , : , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	14, 15, 16, 17	⊢
	: , : , : , :
12	instantiation	34, 18	⊢
	:
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
15	instantiation	21, 19	⊢
	: , : , :
16	instantiation	21, 20	⊢
	: , : , :
17	instantiation	21, 22	⊢
	: , : , :
18	instantiation	23, 24, 25, 26, 27, 28, 29, 30	⊢
	: , : , : , : , :
19	instantiation	32, 31	⊢
	:
20	instantiation	32, 33	⊢
	:
21	axiom		⊢
	proveit.logic.equality.substitution
22	instantiation	34, 35	⊢
	:
23	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_any
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	instantiation	36	⊢
	: , :
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	theorem		⊢
	proveit.logic.booleans.false_is_bool
29	theorem		⊢
	proveit.logic.booleans.true_is_bool
30	axiom		⊢
	proveit.logic.booleans.true_axiom
31	instantiation	38, 37	⊢
	: , :
32	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
33	instantiation	38, 39	⊢
	: , :
34	axiom		⊢
	proveit.logic.booleans.eq_true_intro
35	instantiation	40	⊢
	:
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
37	instantiation	42, 41	⊢
	: , :
38	theorem		⊢
	proveit.logic.equality.unfold_not_equals
39	instantiation	42, 43	⊢
	: , :
40	axiom		⊢
	proveit.logic.equality.equals_reflexivity
41	instantiation	45, 74, 46, 44	⊢
	: , :
42	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
43	instantiation	45, 65, 46, 47	⊢
	: , :
44	instantiation	48, 67, 49, 50, 51, 52*, 53*	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
47	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
48	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
50	instantiation	72, 68, 54	⊢
	: , : , :
51	instantiation	55, 56	⊢
	:
52	instantiation	57, 58, 59	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
54	instantiation	72, 70, 60	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
56	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
57	theorem		⊢
	proveit.logic.equality.sub_right_side_into
58	instantiation	61, 63	⊢
	:
59	instantiation	62, 63, 64	⊢
	: , :
60	instantiation	72, 73, 65	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.addition.elim_zero_right
62	theorem		⊢
	proveit.numbers.addition.commutation
63	instantiation	72, 66, 67	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
66	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
67	instantiation	72, 68, 69	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
69	instantiation	72, 70, 71	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
71	instantiation	72, 73, 74	⊢
	: , : , :
72	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements