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	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 28, 56, 8, 5	⊢
	: , : , : , : , :
3	instantiation	6, 28, 56, 7, 8, 9	⊢
	: , : , : , : , : , : , :
4	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
5	instantiation	10, 11, 12	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	instantiation	20	⊢
	: , :
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	theorem		⊢
	proveit.logic.sets.inclusion.refined_nonmembership
11	instantiation	13, 28, 56, 14	⊢
	: , : , : , :
12	instantiation	15, 59, 16, 17, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.sets.enumeration.subset_eq_of_superset
14	instantiation	20	⊢
	: , :
15	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
16	instantiation	21	⊢
	: , : , :
17	instantiation	22, 23	⊢
	: , :
18	instantiation	27, 56, 59, 24	⊢
	: , :
19	instantiation	27, 56, 25, 26	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
22	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
23	instantiation	27, 28, 56, 29	⊢
	: , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
26	instantiation	30, 47, 31, 49, 32, 33*, 34*	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
29	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
30	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
32	instantiation	35, 36	⊢
	:
33	instantiation	39, 37, 38	⊢
	: , : , :
34	instantiation	39, 40, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
37	instantiation	42, 45	⊢
	:
38	instantiation	44, 45, 43	⊢
	: , :
39	theorem		⊢
	proveit.logic.equality.sub_right_side_into
40	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
41	instantiation	44, 45, 46	⊢
	: , :
42	theorem		⊢
	proveit.numbers.addition.elim_zero_right
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
44	theorem		⊢
	proveit.numbers.addition.commutation
45	instantiation	57, 48, 47	⊢
	: , : , :
46	instantiation	57, 48, 49	⊢
	: , : , :
47	instantiation	57, 51, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	instantiation	57, 51, 52	⊢
	: , : , :
50	instantiation	57, 54, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	57, 54, 55	⊢
	: , : , :
53	instantiation	57, 58, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	57, 58, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements