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, 59, 5, 6, 7	⊢
	: , : , :
3	instantiation	8, 9	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
5	instantiation	10	⊢
	: , :
6	instantiation	12, 11	⊢
	: , :
7	instantiation	12, 13	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.substitution
9	assumption		⊢
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	15, 58, 16, 14	⊢
	: , :
12	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
13	instantiation	15, 59, 16, 17	⊢
	: , :
14	instantiation	22, 46, 23, 18, 19, 20*, 21*	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
17	instantiation	22, 47, 23, 49, 24, 25*, 26*	⊢
	: , : , :
18	instantiation	60, 52, 27	⊢
	: , : , :
19	instantiation	31, 28	⊢
	:
20	instantiation	35, 29, 30	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
22	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
24	instantiation	31, 32	⊢
	:
25	instantiation	35, 33, 34	⊢
	: , : , :
26	instantiation	35, 36, 37	⊢
	: , : , :
27	instantiation	60, 56, 38	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
29	instantiation	40, 39	⊢
	:
30	instantiation	42, 39, 41	⊢
	: , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
33	instantiation	40, 43	⊢
	:
34	instantiation	42, 43, 41	⊢
	: , :
35	theorem		⊢
	proveit.logic.equality.sub_right_side_into
36	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
37	instantiation	42, 43, 44	⊢
	: , :
38	instantiation	60, 61, 45	⊢
	: , : , :
39	instantiation	60, 48, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.addition.elim_zero_right
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
42	theorem		⊢
	proveit.numbers.addition.commutation
43	instantiation	60, 48, 47	⊢
	: , : , :
44	instantiation	60, 48, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
46	instantiation	60, 52, 50	⊢
	: , : , :
47	instantiation	60, 52, 51	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	instantiation	60, 52, 53	⊢
	: , : , :
50	instantiation	60, 56, 54	⊢
	: , : , :
51	instantiation	60, 56, 55	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
53	instantiation	60, 56, 57	⊢
	: , : , :
54	instantiation	60, 61, 58	⊢
	: , : , :
55	instantiation	60, 61, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	60, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements