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