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, 4*, 5*, 6*	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_equiv
2	reference	31	⊢
3	instantiation	7	⊢
	: , : , : , :
4	instantiation	10, 8*	⊢
	: , :
5	instantiation	10, 9*	⊢
	: , :
6	instantiation	10, 11*	⊢
	: , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
8	instantiation	14, 12, 16	⊢
	: , : , :
9	instantiation	14, 13, 16	⊢
	: , : , :
10	axiom		⊢
	proveit.logic.equality.not_equals_def
11	instantiation	14, 15, 16	⊢
	: , : , :
12	instantiation	19, 17	⊢
	: , : , :
13	instantiation	19, 18	⊢
	: , : , :
14	axiom		⊢
	proveit.logic.equality.equals_transitivity
15	instantiation	19, 20	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.booleans.negation.not_f
17	instantiation	23, 21	⊢
	:
18	instantiation	23, 22	⊢
	:
19	axiom		⊢
	proveit.logic.equality.substitution
20	instantiation	23, 24	⊢
	:
21	instantiation	27, 25	⊢
	: , :
22	instantiation	27, 26	⊢
	: , :
23	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
24	instantiation	27, 28	⊢
	: , :
25	instantiation	29, 30	⊢
	: , :
26	instantiation	35, 60, 31, 32	⊢
	: , :
27	theorem		⊢
	proveit.logic.equality.unfold_not_equals
28	instantiation	35, 60, 33, 34	⊢
	: , :
29	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
30	instantiation	35, 36, 60, 37	⊢
	: , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
32	instantiation	38, 53, 39, 40, 41*, 42*	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
34	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
35	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
38	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
40	instantiation	43, 44	⊢
	:
41	instantiation	45, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
43	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
45	theorem		⊢
	proveit.logic.equality.sub_right_side_into
46	instantiation	48, 50	⊢
	:
47	instantiation	49, 50, 51	⊢
	: , :
48	theorem		⊢
	proveit.numbers.addition.elim_zero_right
49	theorem		⊢
	proveit.numbers.addition.commutation
50	instantiation	58, 52, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
52	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
53	instantiation	58, 54, 55	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
55	instantiation	58, 56, 57	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	58, 59, 60	⊢
	: , : , :
58	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
60	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements