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	8, 9, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.range_len
7	instantiation	57, 35, 11	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	12, 47	⊢
	: , : , :
10	instantiation	13, 14, 15, 16	⊢
	: , : , : , :
11	instantiation	17, 28, 29, 18, 31, 19, 20, 59, 21	⊢
	: , : , : , : , :
12	axiom		⊢
	proveit.logic.equality.substitution
13	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
14	instantiation	22, 29, 28, 31, 26, 23, 32, 33, 24	⊢
	: , : , : , : , : , :
15	instantiation	25, 28, 59, 26, 32, 33	⊢
	: , : , : , :
16	instantiation	27, 59, 28, 29, 30, 31, 32, 33, 34*	⊢
	: , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
18	instantiation	39	⊢
	: , :
19	instantiation	57, 35, 36	⊢
	: , : , :
20	instantiation	48, 37, 38	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
22	theorem		⊢
	proveit.numbers.addition.disassociation
23	instantiation	39	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
25	theorem		⊢
	proveit.numbers.addition.elim_zero_any
26	instantiation	39	⊢
	: , :
27	theorem		⊢
	proveit.numbers.addition.association
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
30	instantiation	39	⊢
	: , :
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	instantiation	57, 41, 40	⊢
	: , : , :
33	instantiation	57, 41, 42	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
36	instantiation	43, 50, 44	⊢
	: , :
37	instantiation	53, 45	⊢
	: , :
38	instantiation	46, 47	⊢
	: , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
40	instantiation	48, 49, 50	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	instantiation	57, 51, 52	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
45	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
46	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
47	theorem		⊢
	proveit.numbers.negation.negated_zero
48	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
49	instantiation	53, 54	⊢
	: , :
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	57, 55, 56	⊢
	: , : , :
53	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
55	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
56	instantiation	57, 58, 59	⊢
	: , : , :
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements