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	6	⊢
2	instantiation	4, 32, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.sets.enumeration.enum_set_def
5	instantiation	25	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	9, 10, 11, 12	⊢
	: , : , : , :
8	instantiation	23, 13	⊢
	:
9	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
10	instantiation	16, 14	⊢
	: , : , :
11	instantiation	16, 15	⊢
	: , : , :
12	instantiation	16, 17	⊢
	: , : , :
13	instantiation	18, 32, 19, 20	⊢
	: , :
14	instantiation	23, 21	⊢
	:
15	instantiation	23, 22	⊢
	:
16	axiom		⊢
	proveit.logic.equality.substitution
17	instantiation	23, 24	⊢
	:
18	theorem		⊢
	proveit.logic.booleans.disjunction.not_or_if_not_any
19	instantiation	25	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.booleans.negation.not_false
21	instantiation	28, 26	⊢
	: , :
22	instantiation	28, 27	⊢
	: , :
23	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
24	instantiation	28, 29	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
26	instantiation	30, 31	⊢
	: , :
27	instantiation	36, 61, 32, 33	⊢
	: , :
28	theorem		⊢
	proveit.logic.equality.unfold_not_equals
29	instantiation	36, 61, 34, 35	⊢
	: , :
30	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
31	instantiation	36, 37, 61, 38	⊢
	: , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
33	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
35	instantiation	39, 54, 40, 41, 42*, 43*	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
39	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
41	instantiation	44, 45	⊢
	:
42	instantiation	46, 47, 48	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
44	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
46	theorem		⊢
	proveit.logic.equality.sub_right_side_into
47	instantiation	49, 51	⊢
	:
48	instantiation	50, 51, 52	⊢
	: , :
49	theorem		⊢
	proveit.numbers.addition.elim_zero_right
50	theorem		⊢
	proveit.numbers.addition.commutation
51	instantiation	59, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
53	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
54	instantiation	59, 55, 56	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
56	instantiation	59, 57, 58	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
58	instantiation	59, 60, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements