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	35	⊢
2	instantiation	31, 4	⊢
	: , : , :
3	instantiation	26, 52, 5, 64, 27	⊢
	: , : , :
4	instantiation	35, 6, 7	⊢
	: , : , :
5	instantiation	8, 48	⊢
	:
6	instantiation	31, 9	⊢
	: , : , :
7	instantiation	18, 46, 10, 11, 12*	⊢
	: , :
8	theorem		⊢
	proveit.numbers.negation.real_closure
9	instantiation	31, 13	⊢
	: , : , :
10	instantiation	29, 52, 39	⊢
	: , :
11	instantiation	14, 63, 15	⊢
	: , :
12	instantiation	35, 16, 17	⊢
	: , : , :
13	instantiation	18, 60, 52, 27, 19*	⊢
	: , :
14	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
15	instantiation	99, 20, 71	⊢
	: , : , :
16	instantiation	31, 21	⊢
	: , : , :
17	instantiation	22, 23	⊢
	:
18	theorem		⊢
	proveit.numbers.division.div_as_mult
19	instantiation	35, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
21	instantiation	26, 52, 48, 53, 27, 28*	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
23	instantiation	29, 52, 30	⊢
	: , :
24	instantiation	31, 32	⊢
	: , : , :
25	instantiation	33, 60, 59	⊢
	: , :
26	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
27	instantiation	34, 101	⊢
	:
28	instantiation	35, 36, 37	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
30	instantiation	38, 39	⊢
	:
31	axiom		⊢
	proveit.logic.equality.substitution
32	instantiation	40, 41, 98, 42*	⊢
	: , :
33	theorem		⊢
	proveit.numbers.multiplication.commutation
34	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
35	axiom		⊢
	proveit.logic.equality.equals_transitivity
36	instantiation	43, 56, 92, 94, 58, 57, 59, 60, 44	⊢
	: , : , : , : , : , :
37	instantiation	45, 92, 56, 57, 58, 59, 60, 46, 47*	⊢
	: , : , : , : , :
38	theorem		⊢
	proveit.numbers.negation.complex_closure
39	instantiation	99, 69, 48	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
41	instantiation	99, 49, 50	⊢
	: , : , :
42	instantiation	51, 52	⊢
	:
43	theorem		⊢
	proveit.numbers.multiplication.disassociation
44	instantiation	99, 69, 53	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
46	instantiation	99, 69, 54	⊢
	: , : , :
47	instantiation	55, 92, 56, 57, 58, 59, 60	⊢
	: , : , : , :
48	instantiation	99, 76, 61	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
50	instantiation	99, 62, 63	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
52	instantiation	99, 69, 64	⊢
	: , : , :
53	instantiation	99, 76, 65	⊢
	: , : , :
54	instantiation	99, 76, 66	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
56	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
57	instantiation	67	⊢
	: , :
58	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
59	instantiation	99, 69, 68	⊢
	: , : , :
60	instantiation	99, 69, 70	⊢
	: , : , :
61	instantiation	99, 87, 71	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
63	instantiation	99, 72, 73	⊢
	: , : , :
64	instantiation	99, 76, 74	⊢
	: , : , :
65	instantiation	99, 83, 75	⊢
	: , : , :
66	instantiation	99, 83, 86	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
68	instantiation	99, 76, 77	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
70	instantiation	78, 79, 91	⊢
	: , : , :
71	instantiation	80, 88, 81	⊢
	: , :
72	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
73	instantiation	99, 82, 101	⊢
	: , : , :
74	instantiation	99, 83, 84	⊢
	: , : , :
75	instantiation	85, 86	⊢
	:
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	99, 87, 88	⊢
	: , : , :
78	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
79	instantiation	89, 90	⊢
	: , :
80	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
81	instantiation	99, 100, 91	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
83	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
84	instantiation	99, 93, 92	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.negation.int_closure
86	instantiation	99, 93, 94	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
88	instantiation	95, 96, 97	⊢
	: , :
89	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
90	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
91	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
95	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
96	instantiation	99, 100, 98	⊢
	: , : , :
97	instantiation	99, 100, 101	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
99	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
100	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
101	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
*equality replacement requirements