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, 7*, 8*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.numerals.decimals.md_nine_add_one
2	reference	50	⊢
3	reference	37	⊢
4	instantiation	10, 50, 9	⊢
	:
5	instantiation	10, 37, 11	⊢
	:
6	instantiation	12, 32	⊢
	:
7	instantiation	25, 26, 37, 13, 14, 29, 15	⊢
	: , : , : , : , : , : , :
8	instantiation	16, 17, 18	⊢
	: , : , :
9	instantiation	21, 19, 20	⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.n_in_digits
11	instantiation	21, 22, 23	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
13	instantiation	35	⊢
	: , :
14	instantiation	36, 37	⊢
	: , :
15	instantiation	38, 39	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	24, 39	⊢
	: , : , :
18	instantiation	25, 26, 37, 27, 28, 29, 30	⊢
	: , : , : , : , : , : , :
19	instantiation	33, 50	⊢
	:
20	instantiation	31, 32	⊢
	:
21	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
22	instantiation	33, 37	⊢
	:
23	instantiation	33, 34	⊢
	:
24	axiom		⊢
	proveit.logic.equality.substitution
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	instantiation	35	⊢
	: , :
28	instantiation	36, 37	⊢
	: , :
29	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
30	instantiation	38, 39	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
37	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
38	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
39	instantiation	40, 41	⊢
	:
40	theorem		⊢
	proveit.numbers.addition.elim_zero_left
41	instantiation	48, 42, 43	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	48, 44, 45	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	48, 46, 47	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
47	instantiation	48, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements