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	39, 4	⊢
	: , : , :
3	instantiation	13, 5, 6	⊢
	: , : , :
4	instantiation	39, 7	⊢
	: , : , :
5	instantiation	8, 24, 90, 87, 25, 9, 11, 53, 47	⊢
	: , : , : , : , : , :
6	instantiation	10, 53, 11, 12	⊢
	: , : , :
7	instantiation	13, 14, 15	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.disassociation
9	instantiation	34	⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
11	instantiation	16, 17, 18	⊢
	: , : , :
12	instantiation	19	⊢
	:
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	39, 20	⊢
	: , : , :
15	instantiation	23, 87, 90, 24, 21, 25, 64, 33, 27	⊢
	: , : , : , : , : , :
16	theorem		⊢
	proveit.logic.equality.sub_right_side_into
17	instantiation	32, 22, 27	⊢
	: , :
18	instantiation	23, 24, 90, 87, 25, 26, 64, 33, 27	⊢
	: , : , : , : , : , :
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	instantiation	28, 29, 30, 31	⊢
	: , : , : , :
21	instantiation	34	⊢
	: , :
22	instantiation	32, 64, 33	⊢
	: , :
23	theorem		⊢
	proveit.numbers.multiplication.disassociation
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	34	⊢
	: , :
27	instantiation	88, 72, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
29	instantiation	39, 36	⊢
	: , : , :
30	instantiation	37, 38	⊢
	: , :
31	instantiation	39, 40	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
33	instantiation	41, 53, 42, 43	⊢
	: , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	instantiation	65, 66, 44	⊢
	: , : , :
36	instantiation	45, 46, 47	⊢
	: , :
37	theorem		⊢
	proveit.logic.equality.equals_reversal
38	instantiation	48, 64, 58, 57, 55	⊢
	: , : , :
39	axiom		⊢
	proveit.logic.equality.substitution
40	instantiation	49, 50, 51	⊢
	: , :
41	theorem		⊢
	proveit.numbers.division.div_complex_closure
42	instantiation	52, 64, 53	⊢
	: , :
43	instantiation	54, 55, 56	⊢
	: , : , :
44	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
45	theorem		⊢
	proveit.numbers.addition.commutation
46	instantiation	88, 72, 57	⊢
	: , : , :
47	instantiation	88, 72, 58	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
49	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
50	instantiation	88, 59, 60	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
52	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
53	instantiation	88, 72, 61	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.equality.sub_left_side_into
55	instantiation	62, 84	⊢
	:
56	instantiation	63, 64	⊢
	:
57	instantiation	65, 66, 67	⊢
	: , : , :
58	instantiation	88, 79, 68	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
60	instantiation	88, 69, 70	⊢
	: , : , :
61	instantiation	88, 79, 71	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
63	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
64	instantiation	88, 72, 73	⊢
	: , : , :
65	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
66	instantiation	74, 75	⊢
	: , :
67	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
68	instantiation	88, 85, 76	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
70	instantiation	88, 77, 78	⊢
	: , : , :
71	instantiation	88, 85, 82	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
73	instantiation	88, 79, 80	⊢
	: , : , :
74	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
76	instantiation	81, 82	⊢
	:
77	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
78	instantiation	88, 83, 84	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
80	instantiation	88, 85, 86	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.negation.int_closure
82	instantiation	88, 89, 87	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
84	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
86	instantiation	88, 89, 90	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
88	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat2