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	11	⊢
2	instantiation	3, 4, 5, 6	⊢
	: , : , : , :
3	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
4	instantiation	24, 78, 7, 8, 9*	⊢
	: , :
5	instantiation	10	⊢
	:
6	instantiation	11, 12	⊢
	: , :
7	instantiation	13, 59, 27	⊢
	: , :
8	instantiation	14, 127, 15, 45, 16	⊢
	: , :
9	instantiation	37, 17, 18	⊢
	: , : , :
10	axiom		⊢
	proveit.logic.equality.equals_reflexivity
11	theorem		⊢
	proveit.logic.equality.equals_reversal
12	instantiation	49, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
14	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
15	instantiation	47	⊢
	: , :
16	instantiation	20, 27, 29	⊢
	:
17	instantiation	49, 21	⊢
	: , : , :
18	instantiation	37, 22, 23	⊢
	: , : , :
19	instantiation	24, 78, 27, 29, 25*	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
21	instantiation	26, 59, 27, 62, 28, 29, 30*, 50*	⊢
	: , : , :
22	instantiation	31, 117, 127, 33, 35, 34, 78, 36, 52	⊢
	: , : , : , : , : , :
23	instantiation	32, 33, 127, 34, 35, 36, 52	⊢
	: , : , : , :
24	theorem		⊢
	proveit.numbers.division.div_as_mult
25	instantiation	37, 38, 39	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
27	instantiation	125, 104, 40	⊢
	: , : , :
28	instantiation	75, 99	⊢
	:
29	instantiation	41, 42, 43	⊢
	: , :
30	instantiation	44, 45, 97, 46*	⊢
	: , :
31	theorem		⊢
	proveit.numbers.multiplication.disassociation
32	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
33	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
34	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
35	instantiation	47	⊢
	: , :
36	instantiation	125, 104, 48	⊢
	: , : , :
37	axiom		⊢
	proveit.logic.equality.equals_transitivity
38	instantiation	49, 50	⊢
	: , : , :
39	instantiation	51, 52	⊢
	:
40	instantiation	53, 80, 127	⊢
	: , :
41	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
42	instantiation	125, 82, 54	⊢
	: , : , :
43	instantiation	125, 82, 55	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
45	instantiation	125, 56, 57	⊢
	: , : , :
46	instantiation	58, 59	⊢
	:
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	instantiation	125, 109, 60	⊢
	: , : , :
49	axiom		⊢
	proveit.logic.equality.substitution
50	instantiation	61, 66, 105, 62, 63, 64*	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
52	instantiation	65, 66, 67	⊢
	: , :
53	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
54	instantiation	125, 95, 76	⊢
	: , : , :
55	instantiation	125, 95, 68	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
57	instantiation	125, 69, 70	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
59	instantiation	125, 104, 71	⊢
	: , : , :
60	instantiation	125, 72, 73	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
62	instantiation	74, 90	⊢
	:
63	instantiation	75, 76	⊢
	:
64	instantiation	77, 92, 78, 79*	⊢
	: , :
65	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
66	instantiation	125, 104, 80	⊢
	: , : , :
67	instantiation	125, 104, 81	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
70	instantiation	125, 82, 83	⊢
	: , : , :
71	instantiation	125, 109, 84	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
73	instantiation	85, 86, 87	⊢
	: , :
74	theorem		⊢
	proveit.numbers.negation.real_closure
75	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
76	instantiation	88, 106, 89	⊢
	:
77	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
78	instantiation	125, 104, 90	⊢
	: , : , :
79	instantiation	91, 92	⊢
	:
80	instantiation	125, 109, 93	⊢
	: , : , :
81	instantiation	125, 109, 94	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
83	instantiation	125, 95, 99	⊢
	: , : , :
84	instantiation	125, 113, 96	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
86	instantiation	125, 98, 97	⊢
	: , : , :
87	instantiation	125, 98, 99	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
89	instantiation	100, 101, 102	⊢
	: , : , :
90	instantiation	125, 109, 103	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
92	instantiation	125, 104, 105	⊢
	: , : , :
93	instantiation	125, 113, 106	⊢
	: , : , :
94	instantiation	125, 113, 120	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
96	instantiation	125, 126, 107	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
98	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
99	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
100	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
101	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
102	instantiation	108, 115, 116, 112	⊢
	: , : , :
103	instantiation	125, 113, 115	⊢
	: , : , :
104	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
105	instantiation	125, 109, 110	⊢
	: , : , :
106	instantiation	125, 111, 112	⊢
	: , : , :
107	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
108	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
109	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
110	instantiation	125, 113, 124	⊢
	: , : , :
111	instantiation	114, 115, 116	⊢
	: , :
112	assumption		⊢
113	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
114	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
115	instantiation	125, 126, 117	⊢
	: , : , :
116	instantiation	118, 119, 120	⊢
	: , :
117	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
118	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
119	instantiation	125, 121, 122	⊢
	: , : , :
120	instantiation	123, 124	⊢
	:
121	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
122	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
123	theorem		⊢
	proveit.numbers.negation.int_closure
124	instantiation	125, 126, 127	⊢
	: , : , :
125	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
126	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
127	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements