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	18	⊢
2	instantiation	11, 4	⊢
	: , : , :
3	instantiation	18, 5, 6	⊢
	: , : , :
4	instantiation	37, 39, 30, 38, 7, 40, 42, 43, 32, 44	⊢
	: , : , : , : , : , :
5	instantiation	18, 8, 9	⊢
	: , : , :
6	instantiation	10, 16	⊢
	:
7	instantiation	45	⊢
	: , : , :
8	instantiation	11, 12	⊢
	: , : , :
9	instantiation	13, 14, 15, 16, 17*	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.division.frac_one_denom
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	18, 19, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.division.frac_cancel_left
14	instantiation	76, 22, 21	⊢
	: , : , :
15	instantiation	76, 22, 23	⊢
	: , : , :
16	instantiation	24, 25, 26	⊢
	: , : , :
17	instantiation	27, 32	⊢
	:
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	28, 38, 75, 39, 40, 41, 42, 43, 32, 44	⊢
	: , : , : , : , : , : , :
20	instantiation	29, 39, 30, 38, 31, 40, 32, 42, 43, 44	⊢
	: , : , : , : , : , :
21	instantiation	76, 33, 52	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
23	instantiation	76, 34, 35	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.equality.sub_right_side_into
25	instantiation	76, 77, 36	⊢
	: , : , :
26	instantiation	37, 38, 75, 39, 40, 41, 42, 43, 44	⊢
	: , : , : , : , : , :
27	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
28	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
29	theorem		⊢
	proveit.numbers.multiplication.association
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
31	instantiation	45	⊢
	: , : , :
32	instantiation	76, 77, 46	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
35	instantiation	76, 47, 48	⊢
	: , : , :
36	instantiation	55, 49, 51	⊢
	: , :
37	theorem		⊢
	proveit.numbers.multiplication.disassociation
38	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
41	instantiation	50	⊢
	: , :
42	instantiation	76, 77, 56	⊢
	: , : , :
43	instantiation	76, 77, 57	⊢
	: , : , :
44	instantiation	76, 77, 51	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
46	instantiation	76, 58, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
48	instantiation	76, 53, 54	⊢
	: , : , :
49	instantiation	55, 56, 57	⊢
	: , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
51	instantiation	76, 58, 59	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
55	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
56	instantiation	76, 60, 61	⊢
	: , : , :
57	instantiation	62, 63, 64	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
59	instantiation	65, 66	⊢
	:
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
61	instantiation	76, 67, 68	⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
63	instantiation	69, 70	⊢
	: , :
64	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
65	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
66	instantiation	71, 72, 73	⊢
	:
67	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
68	instantiation	76, 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.complex_numbers.nonzero_complex_is_complex_nonzero
72	instantiation	76, 77, 78	⊢
	: , : , :
73	assumption		⊢
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
76	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
77	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
78	instantiation	79, 80	⊢
	:
79	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
80	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
*equality replacement requirements