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