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, 26, 9, 10, 11*	⊢
	: , : , : , :
3	instantiation	12, 13, 41	⊢
	: , :
4	instantiation	14, 15	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.general_len
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
7	instantiation	37	⊢
	: , : , :
8	instantiation	37	⊢
	: , : , :
9	instantiation	16, 62, 27	⊢
	: , : , :
10	instantiation	16, 36, 28	⊢
	: , : , :
11	instantiation	17, 18, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.commutation
13	instantiation	60, 47, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.equality.equals_reversal
15	instantiation	21, 22	⊢
	: , :
16	theorem		⊢
	proveit.logic.equality.sub_left_side_into
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	23, 24, 25, 26, 27, 28	⊢
	: , : , : , :
19	instantiation	29, 30, 50, 62, 31, 32, 40, 41, 33*	⊢
	: , : , : , : , : , :
20	instantiation	60, 51, 34	⊢
	: , : , :
21	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
22	instantiation	35, 36, 50	⊢
	: , :
23	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
25	instantiation	37	⊢
	: , : , :
26	instantiation	37	⊢
	: , : , :
27	instantiation	38, 40, 42	⊢
	: , : , :
28	instantiation	39, 40, 41, 42	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.addition.association
30	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	instantiation	43	⊢
	: , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
34	instantiation	60, 56, 44	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
36	instantiation	60, 45, 55	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
38	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
39	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
40	instantiation	60, 47, 46	⊢
	: , : , :
41	instantiation	60, 47, 48	⊢
	: , : , :
42	instantiation	49	⊢
	:
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
44	instantiation	60, 61, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
46	instantiation	60, 51, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
48	instantiation	53, 54, 55	⊢
	: , : , :
49	axiom		⊢
	proveit.logic.equality.equals_reflexivity
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	60, 56, 57	⊢
	: , : , :
53	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
54	instantiation	58, 59	⊢
	: , :
55	assumption		⊢
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	60, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements