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.numbers.addition.subtraction.add_cancel_reverse
2	instantiation	21, 5, 6	⊢
	: , : , :
3	instantiation	21, 7, 8	⊢
	: , : , :
4	instantiation	9, 25, 71, 32, 10, 33, 35, 36, 40, 38, 41	⊢
	: , : , : , : , : , : , :
5	instantiation	39, 24, 11	⊢
	: , :
6	instantiation	15, 12, 13	⊢
	: , : , :
7	instantiation	39, 24, 14	⊢
	: , :
8	instantiation	15, 16, 17	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
10	instantiation	37	⊢
	: , : , :
11	instantiation	21, 18, 19	⊢
	: , : , :
12	instantiation	31, 71, 25, 32, 20, 33, 24, 40, 38, 41	⊢
	: , : , : , : , : , :
13	instantiation	31, 32, 56, 25, 33, 26, 20, 35, 36, 40, 38, 41	⊢
	: , : , : , : , : , :
14	instantiation	21, 22, 23	⊢
	: , : , :
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	31, 71, 25, 32, 27, 33, 24, 40, 41, 38	⊢
	: , : , : , : , : , :
17	instantiation	31, 32, 56, 25, 33, 26, 27, 35, 36, 40, 41, 38	⊢
	: , : , : , : , : , :
18	instantiation	39, 28, 41	⊢
	: , :
19	instantiation	31, 32, 56, 71, 33, 29, 40, 38, 41	⊢
	: , : , : , : , : , :
20	instantiation	37	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.equality.sub_right_side_into
22	instantiation	39, 30, 38	⊢
	: , :
23	instantiation	31, 32, 56, 71, 33, 34, 40, 41, 38	⊢
	: , : , : , : , : , :
24	instantiation	39, 35, 36	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
26	instantiation	42	⊢
	: , :
27	instantiation	37	⊢
	: , : , :
28	instantiation	39, 40, 38	⊢
	: , :
29	instantiation	42	⊢
	: , :
30	instantiation	39, 40, 41	⊢
	: , :
31	theorem		⊢
	proveit.numbers.multiplication.disassociation
32	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
33	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
34	instantiation	42	⊢
	: , :
35	instantiation	69, 46, 43	⊢
	: , : , :
36	instantiation	69, 46, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
38	instantiation	69, 46, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
41	instantiation	69, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
43	instantiation	69, 51, 48	⊢
	: , : , :
44	instantiation	69, 49, 50	⊢
	: , : , :
45	instantiation	69, 51, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
48	instantiation	69, 54, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	69, 54, 55	⊢
	: , : , :
53	instantiation	69, 70, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	69, 57, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
57	instantiation	59, 60, 61	⊢
	: , :
58	assumption		⊢
59	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
60	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
61	instantiation	62, 63, 64	⊢
	: , :
62	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
63	instantiation	69, 65, 66	⊢
	: , : , :
64	instantiation	67, 68	⊢
	:
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
66	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
67	theorem		⊢
	proveit.numbers.negation.int_closure
68	instantiation	69, 70, 71	⊢
	: , : , :
69	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1