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	8	⊢
2	instantiation	8, 4, 5	, ,  ⊢
	: , : , :
3	instantiation	17, 6, 47, 20, 7, 13, 23, 24, 25, 26, 29, 27, 28	, ,  ⊢
	: , : , : , : , : , : , :
4	instantiation	8, 9, 10	, ,  ⊢
	: , : , :
5	instantiation	17, 11, 47, 46, 12, 13, 24, 25, 26, 29, 27, 28	, ,  ⊢
	: , : , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
7	instantiation	14	⊢
	: , : , : , : , : , : , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	17, 46, 18, 15, 16, 24, 25, 26, 27, 28, 29	, ,  ⊢
	: , : , : , : , : , : , :
10	instantiation	17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29	, ,  ⊢
	: , : , : , : , : , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
12	instantiation	30	⊢
	: , : , : , : , : , :
13	instantiation	31	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_7_typical_eq
15	instantiation	32	⊢
	: , : , : , :
16	instantiation	32	⊢
	: , : , : , :
17	theorem		⊢
	proveit.numbers.addition.leftward_commutation
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
20	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
21	instantiation	32	⊢
	: , : , : , :
22	instantiation	33	⊢
	: , : , : , : , :
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	assumption		⊢
25	instantiation	48, 36, 34	⊢
	: , : , :
26	instantiation	48, 36, 35	⊢
	: , : , :
27	assumption		⊢
28	assumption		⊢
29	instantiation	48, 36, 37	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
34	instantiation	48, 40, 38	⊢
	: , : , :
35	instantiation	48, 40, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	48, 40, 41	⊢
	: , : , :
38	instantiation	48, 44, 42	⊢
	: , : , :
39	instantiation	48, 44, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	48, 44, 45	⊢
	: , : , :
42	instantiation	48, 49, 46	⊢
	: , : , :
43	instantiation	48, 49, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	48, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat3