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	9	⊢
2	instantiation	3, 4, 5	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	9, 6	⊢
	: , : , :
5	instantiation	7, 12, 13, 14, 15, 19, 16, 17, 8*	⊢
	: , : , : , : , :
6	instantiation	9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
8	instantiation	11, 12, 13, 14, 15, 16, 17	⊢
	: , : , : , :
9	axiom		⊢
	proveit.logic.equality.substitution
10	instantiation	18, 19, 26, 20*	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	21	⊢
	: , :
16	instantiation	61, 31, 22	⊢
	: , : , :
17	instantiation	61, 31, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
19	instantiation	61, 31, 24	⊢
	: , : , :
20	instantiation	25, 26	⊢
	:
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22	instantiation	61, 29, 27	⊢
	: , : , :
23	instantiation	61, 29, 28	⊢
	: , : , :
24	instantiation	61, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
26	instantiation	61, 31, 32	⊢
	: , : , :
27	instantiation	61, 36, 33	⊢
	: , : , :
28	instantiation	61, 34, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	61, 36, 53	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	37, 38, 56	⊢
	: , : , :
33	instantiation	61, 39, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
35	instantiation	41, 42, 43	⊢
	: , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
38	instantiation	44, 45	⊢
	: , :
39	instantiation	46, 47, 58	⊢
	: , :
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
42	instantiation	61, 48, 49	⊢
	: , : , :
43	instantiation	57, 50	⊢
	:
44	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
46	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
47	instantiation	51, 52, 53	⊢
	: , :
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
49	instantiation	61, 54, 55	⊢
	: , : , :
50	instantiation	61, 62, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
52	instantiation	57, 58	⊢
	:
53	instantiation	61, 59, 60	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
56	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
57	theorem		⊢
	proveit.numbers.negation.int_closure
58	instantiation	61, 62, 63	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
60	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
61	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
63	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements