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