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.core_expr_types.tuples.partition
2	instantiation	5, 6, 7	⊢
	: , :
3	instantiation	8, 9, 10	⊢
	:
4	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
5	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
6	instantiation	29, 11, 12	⊢
	: , : , :
7	instantiation	13, 14, 15	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
9	instantiation	16, 17, 18	⊢
	: , :
10	instantiation	19, 20	⊢
	: , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
12	instantiation	21, 35, 22	⊢
	: , :
13	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
14	instantiation	23, 24	⊢
	: , :
15	instantiation	25, 26	⊢
	: , :
16	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
17	instantiation	29, 27, 28	⊢
	: , : , :
18	instantiation	29, 30, 31	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
20	instantiation	32, 33	⊢
	: , :
21	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
23	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
25	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
26	theorem		⊢
	proveit.numbers.negation.negated_zero
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
31	instantiation	34, 35	⊢
	:
32	theorem		⊢
	proveit.numbers.ordering.relax_less
33	instantiation	36, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.int_neg_closure
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
36	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
37	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
38	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4