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