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	reference	30	⊢
2	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
3	instantiation	4, 5, 6, 7, 8, 9, 10, 11, 12	⊢
	: , : , : , : , :
4	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	instantiation	13	⊢
	: , :
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	14, 15, 16	⊢
	:
10	instantiation	17, 18, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
12	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
15	instantiation	20, 21, 22	⊢
	: , :
16	instantiation	23, 24	⊢
	: , :
17	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
18	instantiation	25, 26	⊢
	: , :
19	instantiation	27, 28	⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
21	instantiation	30, 29, 34	⊢
	: , : , :
22	instantiation	30, 31, 32	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
24	instantiation	33, 34	⊢
	:
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
27	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
28	theorem		⊢
	proveit.numbers.negation.negated_zero
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
32	instantiation	35, 36	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.negation.int_neg_closure
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1