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	6, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.core_expr_types.tuples.range_len
5	instantiation	9, 10, 11, 16, 12, 44	⊢
	: , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	13, 14	⊢
	: , : , :
8	instantiation	15, 16, 17, 18, 19, 25, 20	⊢
	: , : , : , :
9	theorem		⊢
	proveit.numbers.addition.add_nat_closure
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
11	instantiation	21	⊢
	: , : , :
12	instantiation	42, 22, 23	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	24, 25	⊢
	:
15	theorem		⊢
	proveit.numbers.addition.elim_zero_any
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	26	⊢
	: , :
20	instantiation	42, 30, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
23	instantiation	28, 29	⊢
	:
24	theorem		⊢
	proveit.numbers.negation.double_negation
25	instantiation	42, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	42, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.nat_pos_closure
29	instantiation	34, 37	⊢
	:
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	35, 36, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	42, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.int_neg_closure
35	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
36	instantiation	40, 41	⊢
	: , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	42, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1