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	8	⊢
2	instantiation	8, 4, 5	⊢
	: , : , :
3	instantiation	6, 28, 19, 7	⊢
	: , : , :
4	instantiation	8, 9, 10	⊢
	: , : , :
5	instantiation	11, 14, 54, 17, 20, 19, 21	⊢
	: , : , : , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	13, 14, 46, 54, 17, 15, 18, 19, 12	⊢
	: , : , : , : , : , :
10	instantiation	13, 46, 14, 15, 16, 17, 18, 19, 20, 21	⊢
	: , : , : , : , : , :
11	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
12	instantiation	52, 34, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.disassociation
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	instantiation	23	⊢
	: , :
16	instantiation	23	⊢
	: , :
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	52, 34, 24	⊢
	: , : , :
19	instantiation	52, 34, 25	⊢
	: , : , :
20	instantiation	52, 34, 26	⊢
	: , : , :
21	instantiation	27, 28	⊢
	:
22	instantiation	52, 41, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	52, 41, 30	⊢
	: , : , :
25	instantiation	52, 41, 31	⊢
	: , : , :
26	instantiation	32, 33, 51	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.negation.complex_closure
28	instantiation	52, 34, 35	⊢
	: , : , :
29	instantiation	52, 47, 36	⊢
	: , : , :
30	instantiation	52, 47, 37	⊢
	: , : , :
31	instantiation	52, 47, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
33	instantiation	39, 40	⊢
	: , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	52, 41, 42	⊢
	: , : , :
36	instantiation	43, 45, 44	⊢
	: , :
37	instantiation	48, 45	⊢
	:
38	instantiation	52, 53, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
42	instantiation	52, 47, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
44	instantiation	48, 49	⊢
	:
45	instantiation	52, 50, 51	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	theorem		⊢
	proveit.numbers.negation.int_closure
49	instantiation	52, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
51	assumption		⊢
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