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	9	⊢
2	instantiation	9, 4, 5	⊢
	: , : , :
3	instantiation	6, 20, 87, 79, 22, 7, 27, 50, 32, 8*	⊢
	: , : , : , : , : , :
4	instantiation	9, 10, 11	⊢
	: , : , :
5	instantiation	12, 20, 79, 87, 22, 13, 36, 27, 50, 32, 14	⊢
	: , : , : , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.addition.association
7	instantiation	33	⊢
	: , :
8	instantiation	15, 16, 17	⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	19, 20, 87, 79, 22, 21, 36, 27, 18	⊢
	: , : , : , : , : , :
11	instantiation	19, 87, 29, 20, 21, 30, 22, 36, 27, 31, 50, 32	⊢
	: , : , : , : , : , :
12	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
13	instantiation	33	⊢
	: , :
14	instantiation	23	⊢
	:
15	theorem		⊢
	proveit.logic.equality.sub_right_side_into
16	instantiation	24, 50, 60, 25	⊢
	: , : , :
17	instantiation	26, 50, 27	⊢
	: , :
18	instantiation	28, 29, 30, 31, 50, 32	⊢
	: , :
19	theorem		⊢
	proveit.numbers.addition.disassociation
20	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
21	instantiation	33	⊢
	: , :
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	axiom		⊢
	proveit.logic.equality.equals_reflexivity
24	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
25	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
26	theorem		⊢
	proveit.numbers.addition.commutation
27	instantiation	85, 67, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.addition.add_complex_closure
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
30	instantiation	35	⊢
	: , : , :
31	instantiation	37, 36	⊢
	:
32	instantiation	37, 38	⊢
	:
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	instantiation	85, 74, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
36	instantiation	40, 41, 42	⊢
	: , :
37	theorem		⊢
	proveit.numbers.negation.complex_closure
38	instantiation	85, 67, 43	⊢
	: , : , :
39	instantiation	85, 80, 78	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
41	instantiation	44, 50, 45, 46	⊢
	: , :
42	instantiation	49, 60, 47	⊢
	: , :
43	instantiation	85, 74, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.division.div_complex_closure
45	instantiation	49, 60, 50	⊢
	: , :
46	instantiation	51, 52, 53	⊢
	: , : , :
47	instantiation	85, 67, 54	⊢
	: , : , :
48	instantiation	85, 80, 55	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
50	instantiation	85, 67, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.equality.sub_left_side_into
52	instantiation	57, 58	⊢
	:
53	instantiation	59, 60	⊢
	:
54	instantiation	61, 62, 63	⊢
	: , : , :
55	instantiation	85, 64, 65	⊢
	: , : , :
56	instantiation	85, 74, 66	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
59	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
60	instantiation	85, 67, 68	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
62	instantiation	69, 70	⊢
	: , :
63	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
64	instantiation	71, 73, 72	⊢
	: , :
65	assumption		⊢
66	instantiation	85, 80, 73	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
68	instantiation	85, 74, 75	⊢
	: , : , :
69	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
71	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
72	instantiation	76, 77, 78	⊢
	: , :
73	instantiation	85, 86, 79	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
75	instantiation	85, 80, 84	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
77	instantiation	85, 81, 82	⊢
	: , : , :
78	instantiation	83, 84	⊢
	:
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
80	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
82	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
83	theorem		⊢
	proveit.numbers.negation.int_closure
84	instantiation	85, 86, 87	⊢
	: , : , :
85	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements