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.core_expr_types.tuples.partition_back
2	instantiation	4, 5, 6	⊢
	:
3	instantiation	7, 8, 9	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
5	instantiation	10, 11, 12	⊢
	: , :
6	instantiation	13, 14	⊢
	: , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	15, 16, 17, 54, 18, 19, 22, 31, 20	⊢
	: , : , : , : , : , :
9	instantiation	21, 31, 22, 23	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
11	instantiation	52, 24, 38	⊢
	: , : , :
12	instantiation	41, 25, 26	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
14	instantiation	27, 28	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.disassociation
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	29	⊢
	: , :
20	instantiation	30, 31	⊢
	:
21	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
22	instantiation	52, 39, 32	⊢
	: , : , :
23	instantiation	33	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
25	instantiation	48, 34	⊢
	: , :
26	instantiation	35, 36	⊢
	: , :
27	theorem		⊢
	proveit.numbers.ordering.relax_less
28	instantiation	37, 38	⊢
	:
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	theorem		⊢
	proveit.numbers.negation.complex_closure
31	instantiation	52, 39, 40	⊢
	: , : , :
32	instantiation	41, 42, 44	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_reflexivity
34	theorem		⊢
	proveit.numbers.number_sets.integers.zero_set_within_int
35	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
36	theorem		⊢
	proveit.numbers.negation.negated_zero
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
38	instantiation	43, 44, 45	⊢
	: , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	52, 46, 47	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
42	instantiation	48, 49	⊢
	: , :
43	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
44	assumption		⊢
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
47	instantiation	52, 50, 51	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1