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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
2	reference	13	⊢
3	reference	21	⊢
4	reference	22	⊢
5	instantiation	6, 7, 8	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.sub_right_side_into
7	instantiation	9, 10, 11	⊢
	: , : , :
8	instantiation	12, 21, 13	⊢
	: , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	14, 15, 47, 16, 17, 18, 21, 19, 22	⊢
	: , : , : , : , : , :
11	instantiation	20, 21, 22, 23	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.commutation
13	instantiation	48, 28, 24	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.disassociation
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	instantiation	25	⊢
	: , :
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	48, 28, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
21	instantiation	48, 28, 27	⊢
	: , : , :
22	instantiation	48, 28, 29	⊢
	: , : , :
23	instantiation	30	⊢
	:
24	instantiation	48, 35, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	instantiation	48, 35, 32	⊢
	: , : , :
27	instantiation	33, 34, 50	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	48, 35, 36	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.equals_reflexivity
31	instantiation	48, 40, 37	⊢
	: , : , :
32	instantiation	48, 40, 42	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	38, 39	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	48, 40, 43	⊢
	: , : , :
37	instantiation	41, 42, 43	⊢
	: , :
38	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	instantiation	44, 45	⊢
	:
43	instantiation	48, 46, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	48, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
50	assumption		⊢