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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	36, 3, 4	⊢
	: , : , :
3	instantiation	32, 5	⊢
	: , : , :
4	instantiation	27, 53, 6, 65, 28	⊢
	: , : , :
5	instantiation	36, 7, 8	⊢
	: , : , :
6	instantiation	9, 49	⊢
	:
7	instantiation	32, 10	⊢
	: , : , :
8	instantiation	19, 47, 11, 12, 13*	⊢
	: , :
9	theorem		⊢
	proveit.numbers.negation.real_closure
10	instantiation	32, 14	⊢
	: , : , :
11	instantiation	30, 53, 40	⊢
	: , :
12	instantiation	15, 64, 16	⊢
	: , :
13	instantiation	36, 17, 18	⊢
	: , : , :
14	instantiation	19, 61, 53, 28, 20*	⊢
	: , :
15	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
16	instantiation	100, 21, 72	⊢
	: , : , :
17	instantiation	32, 22	⊢
	: , : , :
18	instantiation	23, 24	⊢
	:
19	theorem		⊢
	proveit.numbers.division.div_as_mult
20	instantiation	36, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
22	instantiation	27, 53, 49, 54, 28, 29*	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
24	instantiation	30, 53, 31	⊢
	: , :
25	instantiation	32, 33	⊢
	: , : , :
26	instantiation	34, 61, 60	⊢
	: , :
27	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
28	instantiation	35, 102	⊢
	:
29	instantiation	36, 37, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
31	instantiation	39, 40	⊢
	:
32	axiom		⊢
	proveit.logic.equality.substitution
33	instantiation	41, 42, 99, 43*	⊢
	: , :
34	theorem		⊢
	proveit.numbers.multiplication.commutation
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
36	axiom		⊢
	proveit.logic.equality.equals_transitivity
37	instantiation	44, 57, 93, 95, 59, 58, 60, 61, 45	⊢
	: , : , : , : , : , :
38	instantiation	46, 93, 57, 58, 59, 60, 61, 47, 48*	⊢
	: , : , : , : , :
39	theorem		⊢
	proveit.numbers.negation.complex_closure
40	instantiation	100, 70, 49	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
42	instantiation	100, 50, 51	⊢
	: , : , :
43	instantiation	52, 53	⊢
	:
44	theorem		⊢
	proveit.numbers.multiplication.disassociation
45	instantiation	100, 70, 54	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
47	instantiation	100, 70, 55	⊢
	: , : , :
48	instantiation	56, 93, 57, 58, 59, 60, 61	⊢
	: , : , : , :
49	instantiation	100, 77, 62	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
51	instantiation	100, 63, 64	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
53	instantiation	100, 70, 65	⊢
	: , : , :
54	instantiation	100, 77, 66	⊢
	: , : , :
55	instantiation	100, 77, 67	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
57	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
58	instantiation	68	⊢
	: , :
59	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
60	instantiation	100, 70, 69	⊢
	: , : , :
61	instantiation	100, 70, 71	⊢
	: , : , :
62	instantiation	100, 88, 72	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
64	instantiation	100, 73, 74	⊢
	: , : , :
65	instantiation	100, 77, 75	⊢
	: , : , :
66	instantiation	100, 84, 76	⊢
	: , : , :
67	instantiation	100, 84, 87	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
69	instantiation	100, 77, 78	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	79, 80, 92	⊢
	: , : , :
72	instantiation	81, 89, 82	⊢
	: , :
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
74	instantiation	100, 83, 102	⊢
	: , : , :
75	instantiation	100, 84, 85	⊢
	: , : , :
76	instantiation	86, 87	⊢
	:
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
78	instantiation	100, 88, 89	⊢
	: , : , :
79	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
80	instantiation	90, 91	⊢
	: , :
81	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
82	instantiation	100, 101, 92	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
85	instantiation	100, 94, 93	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.negation.int_closure
87	instantiation	100, 94, 95	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
89	instantiation	96, 97, 98	⊢
	: , :
90	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
92	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
96	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
97	instantiation	100, 101, 99	⊢
	: , : , :
98	instantiation	100, 101, 102	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
100	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
101	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
102	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
*equality replacement requirements