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	24, 8, 9	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.range_len
7	instantiation	48, 10, 11	⊢
	: , : , :
8	instantiation	32, 37	⊢
	: , : , :
9	instantiation	12, 18, 50, 41, 20, 13, 40, 14, 15, 16*	⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
11	instantiation	17, 50, 18, 19, 20, 21, 41, 22	⊢
	: , : , : , : , :
12	theorem		⊢
	proveit.numbers.addition.association
13	instantiation	27	⊢
	: , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
15	instantiation	48, 42, 23	⊢
	: , : , :
16	instantiation	24, 25, 26	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	instantiation	27	⊢
	: , :
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	28, 29, 30	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
23	instantiation	48, 44, 31	⊢
	: , : , :
24	axiom		⊢
	proveit.logic.equality.equals_transitivity
25	instantiation	32, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
29	instantiation	34, 35	⊢
	: , :
30	instantiation	36, 37	⊢
	: , :
31	instantiation	48, 46, 38	⊢
	: , : , :
32	axiom		⊢
	proveit.logic.equality.substitution
33	instantiation	39, 40	⊢
	:
34	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
36	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
37	theorem		⊢
	proveit.numbers.negation.negated_zero
38	instantiation	48, 49, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.elim_zero_right
40	instantiation	48, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	48, 44, 45	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	48, 46, 47	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
47	instantiation	48, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements