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.booleans.disjunction.or_if_only_left
2	instantiation	4, 5	⊢
	: , : , : , : , :
3	instantiation	6, 7	⊢
	: , :
4	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
6	theorem		⊢
	proveit.logic.sets.membership.unfold_not_in_set
7	instantiation	8, 47, 9, 10, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
9	instantiation	12	⊢
	: , :
10	instantiation	15, 47, 13, 14	⊢
	: , :
11	instantiation	15, 47, 16, 17	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
14	instantiation	20, 40, 21, 18, 24*, 19*	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
17	instantiation	20, 40, 21, 22, 23, 24*, 25*	⊢
	: , : , :
18	instantiation	28, 26	⊢
	:
19	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
20	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
22	instantiation	45, 41, 27	⊢
	: , : , :
23	instantiation	28, 29	⊢
	:
24	instantiation	30, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
27	instantiation	45, 43, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
30	theorem		⊢
	proveit.logic.equality.sub_right_side_into
31	instantiation	34, 36	⊢
	:
32	instantiation	35, 36, 37	⊢
	: , :
33	instantiation	45, 46, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.elim_zero_right
35	theorem		⊢
	proveit.numbers.addition.commutation
36	instantiation	45, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	45, 41, 42	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
42	instantiation	45, 43, 44	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements