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	⊢
	: , : , : , :
1	reference	5	⊢
2	instantiation	5, 6, 7, 8	⊢
	: , : , : , :
3	instantiation	40, 41, 14, 72, 42, 9, 11, 45, 22, 44, 50, 10*	⊢
	: , : , : , : , : , :
4	instantiation	40, 75, 72, 41, 11, 42, 12, 50, 13*	⊢
	: , : , : , : , : , :
5	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
6	instantiation	17, 75, 14, 15, 45, 50, 22, 44	⊢
	: , : , : , : , : , : , :
7	instantiation	17, 63, 75, 72, 20, 16, 45, 22, 50, 44	⊢
	: , : , : , : , : , : , :
8	instantiation	17, 72, 63, 75, 18, 19, 45, 22, 44, 50	⊢
	: , : , : , : , : , : , :
9	instantiation	28	⊢
	: , : , : , :
10	instantiation	40, 41, 63, 42, 20, 21, 45, 22, 44, 23*	⊢
	: , : , : , : , : , :
11	instantiation	48	⊢
	: , : , :
12	instantiation	73, 56, 24	⊢
	: , : , :
13	instantiation	25, 26, 27*	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
15	instantiation	28	⊢
	: , : , : , :
16	instantiation	48	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.leftward_commutation
18	instantiation	48	⊢
	: , : , :
19	instantiation	54	⊢
	: , :
20	instantiation	54	⊢
	: , :
21	instantiation	54	⊢
	: , :
22	instantiation	73, 56, 29	⊢
	: , : , :
23	instantiation	58, 30, 31	⊢
	: , : , :
24	instantiation	73, 65, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.equality.equals_reversal
26	instantiation	33, 41, 72, 75, 42, 34, 45, 50, 35*	⊢
	: , : , : , : , : , :
27	instantiation	40, 41, 63, 75, 42, 36, 45, 37*	⊢
	: , : , : , : , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
29	instantiation	73, 65, 38	⊢
	: , : , :
30	instantiation	67, 39	⊢
	: , : , :
31	instantiation	40, 41, 63, 75, 42, 43, 44, 45, 46*	⊢
	: , : , : , : , : , :
32	instantiation	73, 70, 47	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
34	instantiation	48	⊢
	: , : , :
35	instantiation	49, 50	⊢
	:
36	instantiation	54	⊢
	: , :
37	instantiation	58, 51, 52	⊢
	: , : , :
38	instantiation	73, 70, 53	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
40	theorem		⊢
	proveit.numbers.addition.association
41	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
42	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
43	instantiation	54	⊢
	: , :
44	instantiation	73, 56, 55	⊢
	: , : , :
45	instantiation	73, 56, 57	⊢
	: , : , :
46	instantiation	58, 59, 60	⊢
	: , : , :
47	instantiation	73, 74, 61	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
49	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
50	assumption		⊢
51	instantiation	67, 62	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
53	instantiation	73, 74, 63	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	instantiation	73, 65, 64	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
57	instantiation	73, 65, 66	⊢
	: , : , :
58	axiom		⊢
	proveit.logic.equality.equals_transitivity
59	instantiation	67, 68	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.numerals.decimals.add_6_1
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
62	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
64	instantiation	73, 70, 69	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
66	instantiation	73, 70, 71	⊢
	: , : , :
67	axiom		⊢
	proveit.logic.equality.substitution
68	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_3
69	instantiation	73, 74, 72	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
71	instantiation	73, 74, 75	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements