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, 73, 69, 10, 5	⊢
	: , : , : , : , :
3	instantiation	6, 73, 69, 7, 10, 8	⊢
	: , : , : , : , : , : , :
4	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
5	instantiation	9, 73, 10, 11, 12, 13	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
10	instantiation	14	⊢
	: , : , :
11	instantiation	17, 15	⊢
	: , :
12	instantiation	17, 16	⊢
	: , :
13	instantiation	17, 18	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	instantiation	21, 69, 22, 19	⊢
	: , :
16	instantiation	21, 70, 22, 20	⊢
	: , :
17	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
18	instantiation	21, 73, 22, 23	⊢
	: , :
19	instantiation	31, 57, 32, 24, 25, 26*, 27*	⊢
	: , : , :
20	instantiation	31, 58, 32, 60, 28, 29*, 30*	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
23	instantiation	31, 60, 32, 58, 33, 34*, 42*	⊢
	: , : , :
24	instantiation	71, 63, 35	⊢
	: , : , :
25	instantiation	44, 36	⊢
	:
26	instantiation	46, 37, 38	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
28	instantiation	44, 39	⊢
	:
29	instantiation	46, 40, 41	⊢
	: , : , :
30	instantiation	46, 42, 43	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
33	instantiation	44, 45	⊢
	:
34	instantiation	46, 47, 48	⊢
	: , : , :
35	instantiation	71, 67, 49	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
37	instantiation	52, 50	⊢
	:
38	instantiation	53, 50, 55	⊢
	: , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
40	instantiation	52, 51	⊢
	:
41	instantiation	53, 51, 55	⊢
	: , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
43	instantiation	53, 51, 54	⊢
	: , :
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	52, 54	⊢
	:
48	instantiation	53, 54, 55	⊢
	: , :
49	instantiation	71, 72, 56	⊢
	: , : , :
50	instantiation	71, 59, 57	⊢
	: , : , :
51	instantiation	71, 59, 58	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.addition.elim_zero_right
53	theorem		⊢
	proveit.numbers.addition.commutation
54	instantiation	71, 59, 60	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
57	instantiation	71, 63, 61	⊢
	: , : , :
58	instantiation	71, 63, 62	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
60	instantiation	71, 63, 64	⊢
	: , : , :
61	instantiation	71, 67, 65	⊢
	: , : , :
62	instantiation	71, 67, 66	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
64	instantiation	71, 67, 68	⊢
	: , : , :
65	instantiation	71, 72, 69	⊢
	: , : , :
66	instantiation	71, 72, 70	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
68	instantiation	71, 72, 73	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
71	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
72	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements