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.logic.equality.sub_left_side_into
2	instantiation	4, 5, 6	⊢
	:
3	instantiation	7, 48, 53, 8, 9, 10, 11, 34, 33, 12*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
5	instantiation	13, 14, 15	⊢
	: , :
6	instantiation	16, 17	⊢
	: , :
7	theorem		⊢
	proveit.numbers.addition.association
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	instantiation	18	⊢
	: , :
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	51, 43, 19	⊢
	: , : , :
12	instantiation	20, 21, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
14	instantiation	51, 23, 29	⊢
	: , : , :
15	instantiation	51, 24, 25	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
17	instantiation	26, 29	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	instantiation	27, 28, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.equality.sub_right_side_into
21	instantiation	30, 33, 41, 31	⊢
	: , : , :
22	instantiation	32, 33, 34	⊢
	: , :
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
24	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
25	instantiation	35, 36	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	37, 38	⊢
	: , :
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
31	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
32	theorem		⊢
	proveit.numbers.addition.commutation
33	instantiation	51, 43, 39	⊢
	: , : , :
34	instantiation	40, 41	⊢
	:
35	theorem		⊢
	proveit.numbers.negation.int_neg_closure
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
37	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
39	instantiation	51, 46, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.negation.complex_closure
41	instantiation	51, 43, 44	⊢
	: , : , :
42	instantiation	51, 49, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
44	instantiation	51, 46, 47	⊢
	: , : , :
45	instantiation	51, 52, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
47	instantiation	51, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
50	instantiation	51, 52, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements