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