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	13	⊢
2	instantiation	40, 4	⊢
	: , : , :
3	instantiation	13, 5, 6	⊢
	: , : , :
4	instantiation	13, 7, 8	⊢
	: , : , :
5	instantiation	18, 21, 102, 99, 23, 9, 24, 51, 57	⊢
	: , : , : , : , : , :
6	instantiation	10, 57, 24, 11	⊢
	: , : , :
7	instantiation	40, 12	⊢
	: , : , :
8	instantiation	13, 14, 15	⊢
	: , : , :
9	instantiation	30	⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
11	instantiation	16	⊢
	:
12	instantiation	40, 17	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	18, 21, 102, 99, 23, 19, 24, 48, 57	⊢
	: , : , : , : , : , :
15	instantiation	20, 99, 102, 21, 22, 23, 24, 48, 57, 25*	⊢
	: , : , : , : , : , :
16	axiom		⊢
	proveit.logic.equality.equals_reflexivity
17	instantiation	26, 27, 28, 29	⊢
	: , : , : , :
18	theorem		⊢
	proveit.numbers.addition.disassociation
19	instantiation	30	⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.association
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	instantiation	30	⊢
	: , :
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	31, 32, 33	⊢
	: , :
25	instantiation	34, 35, 36	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
27	instantiation	40, 37	⊢
	: , : , :
28	instantiation	38, 39	⊢
	: , :
29	instantiation	40, 41	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
31	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
32	instantiation	42, 57, 43, 44	⊢
	: , :
33	instantiation	100, 79, 45	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.equality.sub_right_side_into
35	instantiation	46, 57, 70, 47	⊢
	: , : , :
36	instantiation	49, 57, 48	⊢
	: , :
37	instantiation	49, 50, 51	⊢
	: , :
38	theorem		⊢
	proveit.logic.equality.equals_reversal
39	instantiation	52, 70, 64, 63, 59	⊢
	: , : , :
40	axiom		⊢
	proveit.logic.equality.substitution
41	instantiation	53, 54, 55	⊢
	: , :
42	theorem		⊢
	proveit.numbers.division.div_complex_closure
43	instantiation	56, 70, 57	⊢
	: , :
44	instantiation	58, 59, 60	⊢
	: , : , :
45	instantiation	100, 89, 61	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
47	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
48	instantiation	100, 79, 62	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.addition.commutation
50	instantiation	100, 79, 63	⊢
	: , : , :
51	instantiation	100, 79, 64	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
53	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
54	instantiation	100, 65, 66	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
56	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
57	instantiation	100, 79, 67	⊢
	: , : , :
58	theorem		⊢
	proveit.logic.equality.sub_left_side_into
59	instantiation	68, 96	⊢
	:
60	instantiation	69, 70	⊢
	:
61	instantiation	100, 97, 71	⊢
	: , : , :
62	instantiation	100, 89, 72	⊢
	: , : , :
63	instantiation	73, 74, 92	⊢
	: , : , :
64	instantiation	100, 89, 75	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
66	instantiation	100, 76, 77	⊢
	: , : , :
67	instantiation	100, 89, 78	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
69	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
70	instantiation	100, 79, 80	⊢
	: , : , :
71	instantiation	81, 98, 82	⊢
	: , :
72	instantiation	100, 97, 83	⊢
	: , : , :
73	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
74	instantiation	84, 85	⊢
	: , :
75	instantiation	100, 97, 86	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
77	instantiation	100, 87, 88	⊢
	: , : , :
78	instantiation	100, 97, 94	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
80	instantiation	100, 89, 90	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
82	instantiation	100, 91, 92	⊢
	: , : , :
83	instantiation	93, 98	⊢
	:
84	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
86	instantiation	93, 94	⊢
	:
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
88	instantiation	100, 95, 96	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
90	instantiation	100, 97, 98	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
92	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
93	theorem		⊢
	proveit.numbers.negation.int_closure
94	instantiation	100, 101, 99	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
96	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
97	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
98	instantiation	100, 101, 102	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
100	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
101	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
102	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements