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