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	22, 6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.core_expr_types.tuples.range_len
5	instantiation	46, 8, 9	⊢
	: , : , :
6	instantiation	30, 35	⊢
	: , : , :
7	instantiation	10, 16, 48, 39, 18, 11, 38, 12, 13, 14*	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
9	instantiation	15, 48, 16, 17, 18, 19, 39, 20	⊢
	: , : , : , : , :
10	theorem		⊢
	proveit.numbers.addition.association
11	instantiation	25	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
13	instantiation	46, 40, 21	⊢
	: , : , :
14	instantiation	22, 23, 24	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	instantiation	25	⊢
	: , :
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	26, 27, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
21	instantiation	46, 42, 29	⊢
	: , : , :
22	axiom		⊢
	proveit.logic.equality.equals_transitivity
23	instantiation	30, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
27	instantiation	32, 33	⊢
	: , :
28	instantiation	34, 35	⊢
	: , :
29	instantiation	46, 44, 36	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.substitution
31	instantiation	37, 38	⊢
	:
32	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
34	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
35	theorem		⊢
	proveit.numbers.negation.negated_zero
36	instantiation	46, 47, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.addition.elim_zero_right
38	instantiation	46, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	46, 42, 43	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	46, 44, 45	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	46, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements