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	reference	4	⊢
2	instantiation	4, 5, 6	, ,  ⊢
	: , : , :
3	instantiation	12, 7, 45, 44, 8, 9, 19, 20, 21, 24, 22, 23	, ,  ⊢
	: , : , : , : , : , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	12, 44, 13, 10, 11, 19, 20, 21, 22, 23, 24	, ,  ⊢
	: , : , : , : , : , : , :
6	instantiation	12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24	, ,  ⊢
	: , : , : , : , : , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
8	instantiation	25	⊢
	: , : , : , : , : , :
9	instantiation	26	⊢
	: , :
10	instantiation	27	⊢
	: , : , : , :
11	instantiation	27	⊢
	: , : , : , :
12	theorem		⊢
	proveit.numbers.addition.leftward_commutation
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	instantiation	27	⊢
	: , : , : , :
17	instantiation	28	⊢
	: , : , : , : , :
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	46, 34, 29	⊢
	: , : , :
20	instantiation	46, 34, 30	⊢
	: , : , :
21	instantiation	46, 34, 31	⊢
	: , : , :
22	instantiation	46, 34, 32	⊢
	: , : , :
23	instantiation	46, 34, 33	⊢
	: , : , :
24	instantiation	46, 34, 35	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
29	assumption		⊢
30	instantiation	46, 38, 36	⊢
	: , : , :
31	instantiation	46, 38, 37	⊢
	: , : , :
32	assumption		⊢
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	46, 38, 39	⊢
	: , : , :
36	instantiation	46, 42, 40	⊢
	: , : , :
37	instantiation	46, 42, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	46, 42, 43	⊢
	: , : , :
40	instantiation	46, 47, 44	⊢
	: , : , :
41	instantiation	46, 47, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	46, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat3