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