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.booleans.conjunction.and_if_both
2	generalization	4	⊢
3	generalization	5	⊢
4	assumption		⊢
5	instantiation	27, 33, 6, 7, 8, 9	, ,  ⊢
	: , : , : , :
6	instantiation	34, 40	⊢
	: , : , :
7	instantiation	32, 33	⊢
	: , :
8	instantiation	10, 11, 12	, ,  ⊢
	: , : , :
9	instantiation	13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.equality.sub_left_side_into
11	instantiation	15, 16, 17	, ,  ⊢
	: , :
12	instantiation	18, 40	⊢
	: , : , :
13	theorem		⊢
	proveit.core_expr_types.tuples.merge_extension
14	instantiation	39, 40	⊢
	: , :
15	theorem		⊢
	proveit.logic.booleans.disjunction.binary_closure
16	instantiation	19, 20	, ,  ⊢
	:
17	instantiation	21, 40, 23, 25, 24, 26	,  ⊢
	: , : , : , : , :
18	axiom		⊢
	proveit.logic.booleans.disjunction.multi_disjunction_def
19	assumption		⊢
20	instantiation	22, 23, 40, 38, 24, 25, 26	,  ⊢
	: , : , : , : , : , :
21	theorem		⊢
	proveit.logic.booleans.conjunction.any_from_and
22	theorem		⊢
	proveit.logic.booleans.conjunction.some_from_and
23	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	32, 40	⊢
	: , :
26	instantiation	27, 33, 28, 29, 30, 31	,  ⊢
	: , : , : , :
27	theorem		⊢
	proveit.logic.equality.sub_in_right_operands_via_tuple
28	instantiation	32, 33	⊢
	: , :
29	instantiation	34, 40	⊢
	: , : , :
30	assumption		⊢
31	instantiation	35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
33	instantiation	37, 40, 38	⊢
	: , :
34	theorem		⊢
	proveit.core_expr_types.tuples.extended_range_from1_len_typical_eq
35	axiom		⊢
	proveit.core_expr_types.tuples.range_extension_def
36	instantiation	39, 40	⊢
	: , :
37	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_is_nat
40	instantiation	41, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
43	assumption		⊢