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	31	⊢
2	instantiation	31, 4, 5	, ,  ⊢
	: , : , :
3	instantiation	18, 75, 79, 47, 6, 7, 8, 52, 53, 56, 54, 55, 9*	, ,  ⊢
	: , : , : , : , : , :
4	instantiation	31, 10, 11	, ,  ⊢
	: , : , :
5	instantiation	18, 48, 76, 12, 51, 13, 14, 60, 52, 53, 56, 54, 55, 15*	, ,  ⊢
	: , : , : , : , : , :
6	instantiation	16	⊢
	: , : , :
7	instantiation	62	⊢
	: , : , : , : , :
8	instantiation	17, 53, 60	⊢
	: , :
9	instantiation	18, 48, 76, 75, 51, 19, 52, 53, 56, 20*	⊢
	: , : , : , : , : , :
10	instantiation	31, 21, 22	, ,  ⊢
	: , : , :
11	instantiation	45, 23, 76, 48, 24, 36, 51, 60, 52, 53, 56, 54, 55	, ,  ⊢
	: , : , : , : , : , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
13	instantiation	58	⊢
	: , :
14	instantiation	25	⊢
	: , : , : , : , : , : , : , :
15	instantiation	26, 27, 28*	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
18	theorem		⊢
	proveit.numbers.addition.association
19	instantiation	58	⊢
	: , :
20	instantiation	31, 29, 30	⊢
	: , : , :
21	instantiation	31, 32, 33	, ,  ⊢
	: , : , :
22	instantiation	45, 34, 76, 75, 35, 36, 60, 52, 53, 56, 54, 55	, ,  ⊢
	: , : , : , : , : , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
24	instantiation	37	⊢
	: , : , : , : , : , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
26	theorem		⊢
	proveit.logic.equality.equals_reversal
27	instantiation	38, 48, 76, 75, 51, 39, 52, 60, 40*	⊢
	: , : , : , : , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
29	instantiation	41, 42	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_3
31	axiom		⊢
	proveit.logic.equality.equals_transitivity
32	instantiation	45, 75, 46, 43, 44, 60, 52, 53, 54, 55, 56	, ,  ⊢
	: , : , : , : , : , : , :
33	instantiation	45, 46, 47, 48, 49, 50, 51, 60, 52, 53, 54, 55, 56	, ,  ⊢
	: , : , : , : , : , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
35	instantiation	57	⊢
	: , : , : , : , : , :
36	instantiation	58	⊢
	: , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_7_typical_eq
38	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
39	instantiation	58	⊢
	: , :
40	instantiation	59, 60	⊢
	:
41	axiom		⊢
	proveit.logic.equality.substitution
42	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
43	instantiation	61	⊢
	: , : , : , :
44	instantiation	61	⊢
	: , : , : , :
45	theorem		⊢
	proveit.numbers.addition.leftward_commutation
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
48	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
49	instantiation	61	⊢
	: , : , : , :
50	instantiation	62	⊢
	: , : , : , : , :
51	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
52	instantiation	77, 65, 63	⊢
	: , : , :
53	instantiation	77, 65, 64	⊢
	: , : , :
54	assumption		⊢
55	assumption		⊢
56	instantiation	77, 65, 66	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
58	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
59	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
60	assumption		⊢
61	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
62	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
63	instantiation	77, 69, 67	⊢
	: , : , :
64	instantiation	77, 69, 68	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
66	instantiation	77, 69, 70	⊢
	: , : , :
67	instantiation	77, 73, 71	⊢
	: , : , :
68	instantiation	77, 73, 72	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
70	instantiation	77, 73, 74	⊢
	: , : , :
71	instantiation	77, 78, 75	⊢
	: , : , :
72	instantiation	77, 78, 76	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
74	instantiation	77, 78, 79	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
76	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
77	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements