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	5, 6, 7, 8, 25, 9, 10, 11*	⊢
	: , : , : , :
3	instantiation	12, 13, 38	⊢
	: , :
4	instantiation	14, 15	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.general_len
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
7	instantiation	32	⊢
	: , : , : , :
8	instantiation	32	⊢
	: , : , : , :
9	instantiation	16, 71, 26	⊢
	: , : , :
10	instantiation	16, 54, 27	⊢
	: , : , :
11	instantiation	58, 17, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.commutation
13	instantiation	69, 56, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.equality.equals_reversal
15	instantiation	20, 21	⊢
	: , :
16	theorem		⊢
	proveit.logic.equality.sub_left_side_into
17	instantiation	22, 23, 24, 25, 26, 27	⊢
	: , : , : , :
18	instantiation	58, 28, 29	⊢
	: , : , :
19	instantiation	69, 63, 30	⊢
	: , : , :
20	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
21	instantiation	31, 54, 51	⊢
	: , :
22	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
24	instantiation	32	⊢
	: , : , : , :
25	instantiation	32	⊢
	: , : , : , :
26	instantiation	33, 49, 35	⊢
	: , : , :
27	instantiation	34, 49, 38, 35	⊢
	: , : , :
28	instantiation	36, 46, 71, 45, 48, 47, 49, 38	⊢
	: , : , : , : , : , : , :
29	instantiation	44, 45, 51, 71, 47, 37, 49, 38, 39*	⊢
	: , : , : , : , : , :
30	instantiation	69, 67, 40	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
33	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
34	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
35	instantiation	41	⊢
	:
36	theorem		⊢
	proveit.numbers.addition.leftward_commutation
37	instantiation	42	⊢
	: , : , :
38	instantiation	69, 56, 43	⊢
	: , : , :
39	instantiation	44, 45, 46, 71, 47, 48, 49, 50*	⊢
	: , : , : , : , : , :
40	instantiation	69, 70, 51	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.equals_reflexivity
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
43	instantiation	52, 53, 54	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.addition.association
45	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
47	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
48	instantiation	55	⊢
	: , :
49	instantiation	69, 56, 57	⊢
	: , : , :
50	instantiation	58, 59, 60	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
52	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
53	instantiation	61, 62	⊢
	: , :
54	assumption		⊢
55	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
57	instantiation	69, 63, 64	⊢
	: , : , :
58	axiom		⊢
	proveit.logic.equality.equals_transitivity
59	instantiation	65, 66	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
61	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
64	instantiation	69, 67, 68	⊢
	: , : , :
65	axiom		⊢
	proveit.logic.equality.substitution
66	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
67	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
68	instantiation	69, 70, 71	⊢
	: , : , :
69	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements