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