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	64, 4, 51	⊢
	: , : , :
3	instantiation	19, 5, 6	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
5	instantiation	7, 8	⊢
	: , : , :
6	instantiation	9, 10, 11, 12	⊢
	: , : , : , :
7	axiom		⊢
	proveit.logic.equality.substitution
8	instantiation	13, 29, 33	⊢
	: , :
9	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
10	instantiation	16, 25, 26, 27, 17, 14, 29, 34, 15, 33	⊢
	: , : , : , : , : , :
11	instantiation	16, 26, 66, 17, 18, 29, 34, 23, 30, 33	⊢
	: , : , : , : , : , :
12	instantiation	19, 20, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
14	instantiation	37	⊢
	: , :
15	instantiation	22, 23, 30	⊢
	: , :
16	theorem		⊢
	proveit.numbers.addition.disassociation
17	instantiation	37	⊢
	: , :
18	instantiation	37	⊢
	: , :
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	24, 25, 66, 26, 27, 28, 29, 34, 30, 33, 31	⊢
	: , : , : , : , : , : , : , :
21	instantiation	32, 33, 34, 35	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
23	instantiation	64, 41, 36	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	37	⊢
	: , :
29	instantiation	64, 41, 38	⊢
	: , : , :
30	instantiation	64, 41, 39	⊢
	: , : , :
31	instantiation	43	⊢
	:
32	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
33	instantiation	64, 41, 40	⊢
	: , : , :
34	instantiation	64, 41, 42	⊢
	: , : , :
35	instantiation	43	⊢
	:
36	instantiation	64, 44, 45	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	instantiation	49, 50, 63	⊢
	: , : , :
39	instantiation	64, 47, 46	⊢
	: , : , :
40	instantiation	64, 47, 48	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	instantiation	49, 50, 51	⊢
	: , : , :
43	axiom		⊢
	proveit.logic.equality.equals_reflexivity
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
45	instantiation	64, 52, 53	⊢
	: , : , :
46	instantiation	64, 55, 54	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	64, 55, 61	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
50	instantiation	56, 57	⊢
	: , :
51	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
53	instantiation	64, 58, 59	⊢
	: , : , :
54	instantiation	60, 61	⊢
	:
55	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
56	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
59	instantiation	62, 63	⊢
	:
60	theorem		⊢
	proveit.numbers.negation.int_closure
61	instantiation	64, 65, 66	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.negation.int_neg_closure
63	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
64	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat1