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	,  ⊢
	: , : , :
1	reference	13	⊢
2	instantiation	53, 3, 4	,  ⊢
	: , : , :
3	instantiation	13, 5	,  ⊢
	: , : , :
4	instantiation	15, 6	,  ⊢
	: , :
5	instantiation	53, 7, 8	,  ⊢
	: , : , :
6	instantiation	9, 10, 11, 12	,  ⊢
	: , :
7	instantiation	13, 14	,  ⊢
	: , : , :
8	instantiation	15, 16	,  ⊢
	: , :
9	instantiation	17, 81	⊢
	:
10	instantiation	106, 83, 18	⊢
	: , : , :
11	instantiation	19, 26, 49, 20	⊢
	: , :
12	instantiation	21, 22	⊢
	:
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	53, 23, 24	,  ⊢
	: , : , :
15	theorem		⊢
	proveit.logic.equality.equals_reversal
16	instantiation	25, 26, 47, 27, 28, 29*, 30*	,  ⊢
	: , : , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.int_exp_of_neg_exp
18	instantiation	106, 90, 33	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.division.div_complex_closure
20	instantiation	31, 103	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
22	instantiation	106, 32, 33	⊢
	: , : , :
23	instantiation	34, 35, 108, 63, 36, 64, 75, 76, 67, 47, 68	,  ⊢
	: , : , : , : , : , : , :
24	instantiation	37, 63, 38, 108, 64, 39, 75, 76, 67, 68, 47	,  ⊢
	: , : , : , : , : , :
25	theorem		⊢
	proveit.numbers.division.prod_of_fracs
26	instantiation	40, 41, 42	⊢
	: , : , :
27	instantiation	106, 44, 43	⊢
	: , : , :
28	instantiation	106, 44, 45	⊢
	: , : , :
29	instantiation	46, 47	⊢
	:
30	instantiation	48, 49	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
34	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
36	instantiation	50	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.association
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
39	instantiation	51	⊢
	: , : , : , :
40	theorem		⊢
	proveit.logic.equality.sub_right_side_into
41	instantiation	74, 61, 52	⊢
	: , :
42	instantiation	53, 54, 55	⊢
	: , : , :
43	instantiation	106, 57, 56	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
45	instantiation	106, 57, 58	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.division.frac_one_denom
47	instantiation	106, 83, 59	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
49	instantiation	106, 83, 60	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
51	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
52	instantiation	74, 67, 68	⊢
	: , :
53	axiom		⊢
	proveit.logic.equality.equals_transitivity
54	instantiation	62, 108, 101, 63, 66, 64, 61, 67, 68	⊢
	: , : , : , : , : , :
55	instantiation	62, 63, 101, 64, 65, 66, 75, 76, 67, 68	⊢
	: , : , : , : , : , :
56	instantiation	106, 70, 69	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
58	instantiation	106, 70, 71	⊢
	: , : , :
59	instantiation	106, 88, 72	⊢
	: , : , :
60	instantiation	106, 88, 73	⊢
	: , : , :
61	instantiation	74, 75, 76	⊢
	: , :
62	theorem		⊢
	proveit.numbers.multiplication.disassociation
63	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
64	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
65	instantiation	77	⊢
	: , :
66	instantiation	77	⊢
	: , :
67	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
68	instantiation	106, 83, 78	⊢
	: , : , :
69	instantiation	106, 79, 103	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
71	instantiation	106, 79, 80	⊢
	: , : , :
72	instantiation	106, 96, 81	⊢
	: , : , :
73	instantiation	106, 96, 99	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
75	instantiation	106, 83, 82	⊢
	: , : , :
76	instantiation	106, 83, 84	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
78	instantiation	106, 88, 85	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
80	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
81	instantiation	106, 86, 87	⊢
	: , : , :
82	instantiation	106, 88, 89	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
84	instantiation	106, 90, 91	⊢
	: , : , :
85	instantiation	106, 96, 92	⊢
	: , : , :
86	instantiation	93, 94, 95	⊢
	: , :
87	assumption		⊢
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
89	instantiation	106, 96, 97	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
92	assumption		⊢
93	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
94	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
95	instantiation	98, 99, 100	⊢
	: , :
96	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
97	instantiation	106, 107, 101	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
99	instantiation	106, 102, 103	⊢
	: , : , :
100	instantiation	104, 105	⊢
	:
101	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
102	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
103	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
104	theorem		⊢
	proveit.numbers.negation.int_closure
105	instantiation	106, 107, 108	⊢
	: , : , :
106	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
107	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
108	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements