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, 4	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	33, 5	⊢
	: , : , :
3	instantiation	6	⊢
	:
4	instantiation	7, 8	⊢
	: , :
5	instantiation	33, 9	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_reflexivity
7	theorem		⊢
	proveit.logic.equality.equals_reversal
8	instantiation	33, 10	⊢
	: , : , :
9	instantiation	11, 39, 12, 13, 14*	⊢
	: , :
10	instantiation	15, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.division.div_as_mult
12	instantiation	89, 59, 18	⊢
	: , : , :
13	instantiation	30, 27	⊢
	:
14	instantiation	19, 20, 60, 21, 22, 23*	⊢
	: , : , :
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	33, 24	⊢
	: , : , :
17	instantiation	25, 36, 56, 37, 38, 45, 39, 40, 26*	⊢
	: , : , : , : , :
18	instantiation	65, 66, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
20	instantiation	89, 59, 28	⊢
	: , : , :
21	instantiation	89, 57, 29	⊢
	: , : , :
22	instantiation	30, 83	⊢
	:
23	instantiation	31, 53, 45, 32*	⊢
	: , :
24	instantiation	33, 34	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
26	instantiation	35, 36, 56, 37, 38, 39, 40	⊢
	: , : , : , :
27	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
28	instantiation	89, 57, 41	⊢
	: , : , :
29	instantiation	89, 64, 42	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
32	instantiation	43, 53	⊢
	:
33	axiom		⊢
	proveit.logic.equality.substitution
34	instantiation	44, 45, 53, 46*	⊢
	: , :
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	47	⊢
	: , :
39	instantiation	89, 59, 48	⊢
	: , : , :
40	instantiation	89, 59, 49	⊢
	: , : , :
41	instantiation	89, 64, 50	⊢
	: , : , :
42	instantiation	85, 81	⊢
	:
43	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
44	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
45	instantiation	89, 59, 51	⊢
	: , : , :
46	instantiation	52, 53	⊢
	:
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	instantiation	89, 57, 54	⊢
	: , : , :
49	instantiation	89, 57, 55	⊢
	: , : , :
50	instantiation	89, 87, 56	⊢
	: , : , :
51	instantiation	89, 57, 58	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
53	instantiation	89, 59, 60	⊢
	: , : , :
54	instantiation	89, 64, 61	⊢
	: , : , :
55	instantiation	89, 62, 63	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
58	instantiation	89, 64, 81	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
60	instantiation	65, 66, 84	⊢
	: , : , :
61	instantiation	89, 67, 68	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
63	instantiation	69, 70, 71	⊢
	: , :
64	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
65	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
66	instantiation	72, 73	⊢
	: , :
67	instantiation	74, 75, 86	⊢
	: , :
68	assumption		⊢
69	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
70	instantiation	89, 76, 77	⊢
	: , : , :
71	instantiation	85, 78	⊢
	:
72	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
74	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
75	instantiation	79, 80, 81	⊢
	: , :
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
77	instantiation	89, 82, 83	⊢
	: , : , :
78	instantiation	89, 90, 84	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
80	instantiation	85, 86	⊢
	:
81	instantiation	89, 87, 88	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
83	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
84	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
85	theorem		⊢
	proveit.numbers.negation.int_closure
86	instantiation	89, 90, 91	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
89	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
91	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements