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	33	⊢
2	instantiation	33, 4, 5	⊢
	: , : , :
3	instantiation	6, 12	⊢
	:
4	instantiation	7, 8	⊢
	: , : , :
5	instantiation	9, 10, 11, 12, 13*	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.division.frac_one_denom
7	axiom		⊢
	proveit.logic.equality.substitution
8	instantiation	33, 14, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.division.frac_cancel_left
10	instantiation	94, 17, 16	⊢
	: , : , :
11	instantiation	94, 17, 18	⊢
	: , : , :
12	instantiation	42, 19, 20	⊢
	: , : , :
13	instantiation	21, 28	⊢
	:
14	instantiation	22, 55, 23, 96, 56, 24, 59, 60, 65, 66, 28, 58	⊢
	: , : , : , : , : , : , :
15	instantiation	25, 96, 26, 55, 27, 56, 28, 59, 60, 65, 66, 58	⊢
	: , : , : , : , : , :
16	instantiation	94, 30, 29	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
18	instantiation	94, 30, 31	⊢
	: , : , :
19	instantiation	64, 45, 32	⊢
	: , :
20	instantiation	33, 34, 35	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
22	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
24	instantiation	36	⊢
	: , : , : , :
25	theorem		⊢
	proveit.numbers.multiplication.association
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
27	instantiation	37	⊢
	: , : , : , : , :
28	instantiation	94, 71, 38	⊢
	: , : , :
29	instantiation	94, 40, 39	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
31	instantiation	94, 40, 41	⊢
	: , : , :
32	instantiation	42, 43, 44	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	54, 96, 46, 55, 48, 56, 45, 65, 66, 58	⊢
	: , : , : , : , : , :
35	instantiation	54, 55, 81, 46, 56, 47, 48, 59, 60, 65, 66, 58	⊢
	: , : , : , : , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
38	instantiation	49, 50, 91	⊢
	: , : , :
39	instantiation	94, 51, 91	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
41	instantiation	94, 51, 52	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.equality.sub_right_side_into
43	instantiation	64, 53, 58	⊢
	: , :
44	instantiation	54, 55, 81, 96, 56, 57, 65, 66, 58	⊢
	: , : , : , : , : , :
45	instantiation	64, 59, 60	⊢
	: , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
47	instantiation	67	⊢
	: , :
48	instantiation	61	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
50	instantiation	62, 63	⊢
	: , :
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
53	instantiation	64, 65, 66	⊢
	: , :
54	theorem		⊢
	proveit.numbers.multiplication.disassociation
55	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
56	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
57	instantiation	67	⊢
	: , :
58	instantiation	94, 71, 68	⊢
	: , : , :
59	instantiation	94, 71, 69	⊢
	: , : , :
60	instantiation	94, 71, 70	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
62	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
64	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
65	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
66	instantiation	94, 71, 72	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
68	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
69	instantiation	94, 76, 73	⊢
	: , : , :
70	instantiation	94, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
72	instantiation	94, 76, 77	⊢
	: , : , :
73	instantiation	94, 79, 78	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	94, 79, 80	⊢
	: , : , :
78	instantiation	94, 95, 81	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
80	instantiation	94, 82, 83	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
82	instantiation	84, 85, 86	⊢
	: , :
83	assumption		⊢
84	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
85	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
86	instantiation	87, 88, 89	⊢
	: , :
87	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
88	instantiation	94, 90, 91	⊢
	: , : , :
89	instantiation	92, 93	⊢
	:
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
91	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
92	theorem		⊢
	proveit.numbers.negation.int_closure
93	instantiation	94, 95, 96	⊢
	: , : , :
94	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
96	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements