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	,  ⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 5	,  ⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 7	,  ⊢
	: , : , :
5	instantiation	8, 9, 10, 11	,  ⊢
	: , : , : , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	12, 27, 22	,  ⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
9	instantiation	14, 19, 65, 58, 20, 15, 21, 17, 13	,  ⊢
	: , : , : , : , : , :
10	instantiation	14, 65, 19, 15, 16, 20, 21, 17, 22, 23	,  ⊢
	: , : , : , : , : , :
11	instantiation	18, 58, 19, 20, 21, 22, 23	,  ⊢
	: , : , : , : , : , : , : , :
12	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
13	instantiation	63, 34, 24	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.disassociation
15	instantiation	25	⊢
	: , :
16	instantiation	25	⊢
	: , :
17	instantiation	63, 34, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	28, 27	⊢
	:
22	instantiation	63, 34, 32	⊢
	: , : , :
23	instantiation	28, 29	⊢
	:
24	instantiation	30, 32, 31	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	instantiation	35, 32	⊢
	:
27	instantiation	63, 34, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.complex_closure
29	instantiation	63, 34, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
31	instantiation	35, 36	⊢
	:
32	instantiation	63, 39, 37	⊢
	: , : , :
33	instantiation	63, 39, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	theorem		⊢
	proveit.numbers.negation.real_closure
36	instantiation	63, 39, 40	⊢
	: , : , :
37	instantiation	63, 43, 41	⊢
	: , : , :
38	instantiation	63, 43, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	63, 43, 54	⊢
	: , : , :
41	instantiation	63, 44, 45	⊢
	: , : , :
42	instantiation	63, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	51, 48, 57	⊢
	: , :
45	instantiation	49, 50	⊢
	: , :
46	instantiation	51, 54, 52	⊢
	: , :
47	assumption		⊢
48	instantiation	55, 53, 54	⊢
	: , :
49	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
52	instantiation	55, 57, 56	⊢
	: , :
53	instantiation	59, 57	⊢
	:
54	instantiation	63, 64, 58	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
56	instantiation	59, 60	⊢
	:
57	instantiation	63, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
59	theorem		⊢
	proveit.numbers.negation.int_closure
60	instantiation	63, 64, 65	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
62	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
63	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
64	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat2