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	15	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	15, 6, 7	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 25, 35, 9*	⊢
	: , :
6	instantiation	15, 10, 11	⊢
	: , : , :
7	instantiation	12, 35, 26, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
9	instantiation	14, 27	⊢
	:
10	instantiation	15, 16, 17	⊢
	: , : , :
11	instantiation	18, 21, 61, 24, 27, 26, 28	⊢
	: , : , : , : , : , : , : , :
12	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
13	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
14	theorem		⊢
	proveit.numbers.negation.double_negation
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	20, 21, 53, 61, 24, 22, 25, 26, 19	⊢
	: , : , : , : , : , :
17	instantiation	20, 53, 21, 22, 23, 24, 25, 26, 27, 28	⊢
	: , : , : , : , : , :
18	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
19	instantiation	59, 41, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.disassociation
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	instantiation	30	⊢
	: , :
23	instantiation	30	⊢
	: , :
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	59, 41, 31	⊢
	: , : , :
26	instantiation	59, 41, 32	⊢
	: , : , :
27	instantiation	59, 41, 33	⊢
	: , : , :
28	instantiation	34, 35	⊢
	:
29	instantiation	59, 48, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
31	instantiation	59, 48, 37	⊢
	: , : , :
32	instantiation	59, 48, 38	⊢
	: , : , :
33	instantiation	39, 40, 58	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.complex_closure
35	instantiation	59, 41, 42	⊢
	: , : , :
36	instantiation	59, 54, 43	⊢
	: , : , :
37	instantiation	59, 54, 44	⊢
	: , : , :
38	instantiation	59, 54, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
40	instantiation	46, 47	⊢
	: , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	instantiation	59, 48, 49	⊢
	: , : , :
43	instantiation	50, 52, 51	⊢
	: , :
44	instantiation	55, 52	⊢
	:
45	instantiation	59, 60, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	59, 54, 56	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
51	instantiation	55, 56	⊢
	:
52	instantiation	59, 57, 58	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	theorem		⊢
	proveit.numbers.negation.int_closure
56	instantiation	59, 60, 61	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
58	assumption		⊢
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements