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	⊢
	: , : , :
3	instantiation	6	⊢
	:
4	instantiation	7, 8	⊢
	: , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3
6	axiom		⊢
	proveit.logic.equality.equals_reflexivity
7	theorem		⊢
	proveit.logic.equality.equals_reversal
8	instantiation	9, 10, 11	⊢
	: , : , :
9	theorem		⊢
	proveit.logic.equality.sub_right_side_into
10	instantiation	12, 13	⊢
	: , : , :
11	instantiation	33, 14, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.core_expr_types.tuples.range_len
13	instantiation	16, 17, 18, 55, 19, 46	⊢
	: , :
14	instantiation	41, 39	⊢
	: , : , :
15	instantiation	20, 21, 55, 46, 22, 23, 45, 24, 25, 26*	⊢
	: , : , : , : , : , :
16	theorem		⊢
	proveit.numbers.addition.add_nat_closure
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
18	instantiation	27	⊢
	: , : , :
19	instantiation	28, 29, 30	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.association
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	31	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
25	instantiation	53, 47, 32	⊢
	: , : , :
26	instantiation	33, 34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
28	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
29	instantiation	36, 37	⊢
	: , :
30	instantiation	38, 39	⊢
	: , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	instantiation	53, 49, 40	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	41, 42	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
36	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
38	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
39	theorem		⊢
	proveit.numbers.negation.negated_zero
40	instantiation	53, 51, 43	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.substitution
42	instantiation	44, 45	⊢
	:
43	instantiation	53, 54, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.addition.elim_zero_right
45	instantiation	53, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
48	instantiation	53, 49, 50	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
50	instantiation	53, 51, 52	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	instantiation	53, 54, 55	⊢
	: , : , :
53	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements