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, 4	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 6, 7	⊢
	: , : , :
3	instantiation	8	⊢
	:
4	instantiation	9, 10	⊢
	: , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	11, 12	⊢
	: , : , :
7	instantiation	13, 14, 15	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	16, 17	⊢
	: , :
11	theorem		⊢
	proveit.core_expr_types.tuples.range_len
12	instantiation	18, 19, 20, 25, 21, 56	⊢
	: , :
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	22, 23	⊢
	: , : , :
15	instantiation	24, 25, 26, 27, 28, 35, 29	⊢
	: , : , : , :
16	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
17	instantiation	54, 32, 30	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.add_nat_closure
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
20	instantiation	31	⊢
	: , : , :
21	instantiation	54, 32, 33	⊢
	: , : , :
22	axiom		⊢
	proveit.logic.equality.substitution
23	instantiation	34, 35	⊢
	:
24	theorem		⊢
	proveit.numbers.addition.elim_zero_any
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	36	⊢
	: , :
29	instantiation	54, 42, 37	⊢
	: , : , :
30	instantiation	38, 49, 39	⊢
	: , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
33	instantiation	40, 41	⊢
	:
34	theorem		⊢
	proveit.numbers.negation.double_negation
35	instantiation	54, 42, 43	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
37	instantiation	54, 44, 45	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
40	theorem		⊢
	proveit.numbers.negation.nat_pos_closure
41	instantiation	46, 49	⊢
	:
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	47, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	54, 50, 51	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.negation.int_neg_closure
47	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
48	instantiation	52, 53	⊢
	: , :
49	assumption		⊢
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	54, 55, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1