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	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	44, 5, 6	,  ⊢
	: , : , :
3	instantiation	28, 69, 65, 66, 7, 10, 31, 41, 17, 18, 52, 8*	,  ⊢
	: , : , : , : , : , :
4	instantiation	28, 66, 35, 9, 10, 36, 31, 11, 52, 12*	,  ⊢
	: , : , : , : , : , :
5	instantiation	15, 66, 69, 13, 14, 31, 41, 52, 17, 18	,  ⊢
	: , : , : , : , : , : , :
6	instantiation	15, 65, 69, 16, 31, 41, 17, 52, 18	,  ⊢
	: , : , : , : , : , : , :
7	instantiation	40	⊢
	: , : , :
8	instantiation	22, 19, 20*	⊢
	: , :
9	instantiation	48	⊢
	: , :
10	instantiation	48	⊢
	: , :
11	instantiation	25, 21, 41	⊢
	: , :
12	instantiation	22, 23, 24*	⊢
	: , :
13	instantiation	48	⊢
	: , :
14	instantiation	48	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.leftward_commutation
16	instantiation	40	⊢
	: , : , :
17	instantiation	25, 30, 41	⊢
	: , :
18	instantiation	25, 31, 41	⊢
	: , :
19	instantiation	34, 35, 65, 69, 36, 26, 38, 30, 31, 41, 27*	⊢
	: , : , : , : , : , :
20	instantiation	28, 35, 66, 69, 36, 29, 38, 30, 31, 32*	⊢
	: , : , : , : , : , :
21	instantiation	67, 49, 33	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.equality.equals_reversal
23	instantiation	34, 35, 66, 69, 36, 37, 38, 52, 39*	⊢
	: , : , : , : , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
25	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
26	instantiation	40	⊢
	: , : , :
27	instantiation	51, 41	⊢
	:
28	theorem		⊢
	proveit.numbers.addition.association
29	instantiation	48	⊢
	: , :
30	instantiation	67, 49, 42	⊢
	: , : , :
31	instantiation	67, 49, 43	⊢
	: , : , :
32	instantiation	44, 45, 46	⊢
	: , : , :
33	instantiation	67, 58, 47	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
35	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
36	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
37	instantiation	48	⊢
	: , :
38	instantiation	67, 49, 50	⊢
	: , : , :
39	instantiation	51, 52	⊢
	:
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
41	assumption		⊢
42	instantiation	67, 58, 53	⊢
	: , : , :
43	instantiation	67, 58, 54	⊢
	: , : , :
44	axiom		⊢
	proveit.logic.equality.equals_transitivity
45	instantiation	55, 56	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_2
47	instantiation	67, 63, 57	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	instantiation	67, 58, 59	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
52	assumption		⊢
53	instantiation	67, 63, 60	⊢
	: , : , :
54	instantiation	67, 63, 61	⊢
	: , : , :
55	axiom		⊢
	proveit.logic.equality.substitution
56	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
57	instantiation	67, 68, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
59	instantiation	67, 63, 64	⊢
	: , : , :
60	instantiation	67, 68, 65	⊢
	: , : , :
61	instantiation	67, 68, 66	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	instantiation	67, 68, 69	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
67	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements