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