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.proper_subset_of_superset
2	reference	12	⊢
3	reference	45	⊢
4	reference	13	⊢
5	instantiation	7	⊢
	: , :
6	instantiation	8, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
8	theorem		⊢
	proveit.logic.sets.inclusion.refined_nonmembership
9	instantiation	11, 12, 54, 13, 15	⊢
	: , : , : , :
10	instantiation	14, 54, 15, 16, 17, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.sets.enumeration.subset_eq_of_superset
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
15	instantiation	19	⊢
	: , : , :
16	instantiation	20, 21	⊢
	: , :
17	instantiation	26, 54, 22, 23	⊢
	: , :
18	instantiation	26, 54, 24, 25	⊢
	: , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
20	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
21	instantiation	26, 45, 54, 27	⊢
	: , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
23	instantiation	28, 47, 29, 30, 31, 32*, 33*	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
25	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
26	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
27	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
28	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
30	instantiation	52, 48, 34	⊢
	: , : , :
31	instantiation	35, 36	⊢
	:
32	instantiation	37, 38, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
34	instantiation	52, 50, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	theorem		⊢
	proveit.logic.equality.sub_right_side_into
38	instantiation	41, 43	⊢
	:
39	instantiation	42, 43, 44	⊢
	: , :
40	instantiation	52, 53, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.addition.elim_zero_right
42	theorem		⊢
	proveit.numbers.addition.commutation
43	instantiation	52, 46, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	instantiation	52, 48, 49	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	52, 50, 51	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements