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	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
2	reference	47	⊢
3	reference	7	⊢
4	instantiation	10	⊢
	: , :
5	instantiation	6, 47, 7, 8, 9	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
7	instantiation	10	⊢
	: , :
8	instantiation	12, 11	⊢
	: , :
9	instantiation	12, 13	⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	15, 56, 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, 49, 23, 24, 25, 26*, 27*	⊢
	: , : , :
18	instantiation	57, 51, 28	⊢
	: , : , :
19	instantiation	33, 29	⊢
	:
20	instantiation	35, 30, 31	⊢
	: , : , :
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	57, 51, 32	⊢
	: , : , :
25	instantiation	33, 34	⊢
	:
26	instantiation	35, 36, 37	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
28	instantiation	57, 54, 38	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
30	instantiation	41, 39	⊢
	:
31	instantiation	42, 39, 44	⊢
	: , :
32	instantiation	57, 54, 40	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
35	theorem		⊢
	proveit.logic.equality.sub_right_side_into
36	instantiation	41, 43	⊢
	:
37	instantiation	42, 43, 44	⊢
	: , :
38	instantiation	57, 58, 45	⊢
	: , : , :
39	instantiation	57, 48, 46	⊢
	: , : , :
40	instantiation	57, 58, 47	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.addition.elim_zero_right
42	theorem		⊢
	proveit.numbers.addition.commutation
43	instantiation	57, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
46	instantiation	57, 51, 50	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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.nat1
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