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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8, 9	⊢
	: , : , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	10, 27, 22	⊢
	: , :
6	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
7	instantiation	12, 16, 62, 67, 17, 13, 27, 18, 11	⊢
	: , : , : , : , : , :
8	instantiation	12, 62, 16, 13, 14, 17, 27, 18, 21, 22	⊢
	: , : , : , : , : , :
9	instantiation	15, 16, 67, 17, 27, 18, 22, 19	⊢
	: , : , : , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_subtract
11	instantiation	20, 21, 22	⊢
	: , :
12	theorem		⊢
	proveit.numbers.addition.disassociation
13	instantiation	23	⊢
	: , :
14	instantiation	23	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	65, 30, 24	⊢
	: , : , :
19	instantiation	25	⊢
	:
20	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
21	instantiation	26, 27	⊢
	:
22	instantiation	65, 30, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	29, 37	⊢
	:
25	axiom		⊢
	proveit.logic.equality.equals_reflexivity
26	theorem		⊢
	proveit.numbers.negation.complex_closure
27	instantiation	65, 30, 31	⊢
	: , : , :
28	instantiation	65, 54, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.negation.real_closure
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	65, 54, 33	⊢
	: , : , :
32	instantiation	65, 60, 34	⊢
	: , : , :
33	instantiation	65, 60, 35	⊢
	: , : , :
34	instantiation	36, 37	⊢
	:
35	instantiation	65, 38, 39	⊢
	: , : , :
36	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
37	instantiation	40, 41, 42	⊢
	: , :
38	instantiation	43, 44, 45	⊢
	: , :
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
41	instantiation	65, 54, 46	⊢
	: , : , :
42	instantiation	47, 48, 49, 50	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
44	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
45	instantiation	51, 53, 52	⊢
	: , :
46	instantiation	65, 60, 53	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
49	instantiation	65, 54, 55	⊢
	: , : , :
50	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
51	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
52	instantiation	56, 61	⊢
	:
53	instantiation	57, 58, 59	⊢
	: , :
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
55	instantiation	65, 60, 61	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.negation.int_closure
57	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
58	instantiation	65, 66, 62	⊢
	: , : , :
59	instantiation	65, 63, 64	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	65, 66, 67	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
63	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
64	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat1