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	52	⊢
2	instantiation	12, 4	,  ⊢
	: , : , :
3	instantiation	14, 5	,  ⊢
	: , :
4	instantiation	52, 6, 7	,  ⊢
	: , : , :
5	instantiation	8, 9, 10, 11	,  ⊢
	: , :
6	instantiation	12, 13	,  ⊢
	: , : , :
7	instantiation	14, 15	,  ⊢
	: , :
8	instantiation	16, 80	⊢
	:
9	instantiation	105, 82, 17	⊢
	: , : , :
10	instantiation	18, 25, 48, 19	⊢
	: , :
11	instantiation	20, 21	⊢
	:
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	52, 22, 23	,  ⊢
	: , : , :
14	theorem		⊢
	proveit.logic.equality.equals_reversal
15	instantiation	24, 25, 46, 26, 27, 28*, 29*	,  ⊢
	: , : , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.int_exp_of_neg_exp
17	instantiation	105, 89, 32	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.division.div_complex_closure
19	instantiation	30, 102	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
21	instantiation	105, 31, 32	⊢
	: , : , :
22	instantiation	33, 34, 107, 62, 35, 63, 74, 75, 66, 46, 67	,  ⊢
	: , : , : , : , : , : , :
23	instantiation	36, 62, 37, 107, 63, 38, 74, 75, 66, 67, 46	,  ⊢
	: , : , : , : , : , :
24	theorem		⊢
	proveit.numbers.division.prod_of_fracs
25	instantiation	39, 40, 41	⊢
	: , : , :
26	instantiation	105, 43, 42	⊢
	: , : , :
27	instantiation	105, 43, 44	⊢
	: , : , :
28	instantiation	45, 46	⊢
	:
29	instantiation	47, 48	⊢
	:
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
33	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
35	instantiation	49	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.multiplication.association
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
38	instantiation	50	⊢
	: , : , : , :
39	theorem		⊢
	proveit.logic.equality.sub_right_side_into
40	instantiation	73, 60, 51	⊢
	: , :
41	instantiation	52, 53, 54	⊢
	: , : , :
42	instantiation	105, 56, 55	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
44	instantiation	105, 56, 57	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.division.frac_one_denom
46	instantiation	105, 82, 58	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
48	instantiation	105, 82, 59	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
50	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
51	instantiation	73, 66, 67	⊢
	: , :
52	axiom		⊢
	proveit.logic.equality.equals_transitivity
53	instantiation	61, 107, 100, 62, 65, 63, 60, 66, 67	⊢
	: , : , : , : , : , :
54	instantiation	61, 62, 100, 63, 64, 65, 74, 75, 66, 67	⊢
	: , : , : , : , : , :
55	instantiation	105, 69, 68	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
57	instantiation	105, 69, 70	⊢
	: , : , :
58	instantiation	105, 87, 71	⊢
	: , : , :
59	instantiation	105, 87, 72	⊢
	: , : , :
60	instantiation	73, 74, 75	⊢
	: , :
61	theorem		⊢
	proveit.numbers.multiplication.disassociation
62	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
63	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
64	instantiation	76	⊢
	: , :
65	instantiation	76	⊢
	: , :
66	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
67	instantiation	105, 82, 77	⊢
	: , : , :
68	instantiation	105, 78, 102	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
70	instantiation	105, 78, 79	⊢
	: , : , :
71	instantiation	105, 95, 80	⊢
	: , : , :
72	instantiation	105, 95, 98	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
74	instantiation	105, 82, 81	⊢
	: , : , :
75	instantiation	105, 82, 83	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
77	instantiation	105, 87, 84	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
80	instantiation	105, 85, 86	⊢
	: , : , :
81	instantiation	105, 87, 88	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
83	instantiation	105, 89, 90	⊢
	: , : , :
84	instantiation	105, 95, 91	⊢
	: , : , :
85	instantiation	92, 93, 94	⊢
	: , :
86	assumption		⊢
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
88	instantiation	105, 95, 96	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
90	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
91	assumption		⊢
92	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
93	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
94	instantiation	97, 98, 99	⊢
	: , :
95	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
96	instantiation	105, 106, 100	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
98	instantiation	105, 101, 102	⊢
	: , : , :
99	instantiation	103, 104	⊢
	:
100	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
101	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
102	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
103	theorem		⊢
	proveit.numbers.negation.int_closure
104	instantiation	105, 106, 107	⊢
	: , : , :
105	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
106	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
107	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements