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	reference	38	⊢
2	instantiation	4, 53, 68, 7, 5, 8, 10, 11	⊢
	: , : , : , : , : , :
3	instantiation	6, 7, 68, 53, 8, 9, 10, 11, 12*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	instantiation	54	⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.association
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	54	⊢
	: , :
10	instantiation	66, 59, 13	⊢
	: , : , :
11	instantiation	14, 15	⊢
	:
12	instantiation	16, 44, 65, 17*	⊢
	: , : , : , :
13	instantiation	23, 24, 60, 18	⊢
	: , :
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	66, 59, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
17	instantiation	38, 20, 21	⊢
	: , : , :
18	instantiation	42, 22	⊢
	:
19	instantiation	23, 24, 25, 26	⊢
	: , :
20	instantiation	47, 68, 27, 28, 29, 30	⊢
	: , : , : , :
21	instantiation	31, 32, 33	⊢
	:
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	theorem		⊢
	proveit.numbers.division.div_real_closure
24	instantiation	66, 62, 34	⊢
	: , : , :
25	instantiation	35, 36, 37	⊢
	: , : , :
26	instantiation	42, 37	⊢
	:
27	instantiation	54	⊢
	: , :
28	instantiation	54	⊢
	: , :
29	instantiation	38, 39, 40	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
31	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
32	instantiation	66, 59, 41	⊢
	: , : , :
33	instantiation	42, 43	⊢
	:
34	instantiation	66, 64, 44	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
36	instantiation	45, 46	⊢
	: , :
37	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
38	axiom		⊢
	proveit.logic.equality.equals_transitivity
39	instantiation	47, 68, 48, 49, 50, 51	⊢
	: , : , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
41	instantiation	66, 62, 52	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
44	instantiation	66, 67, 53	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
47	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
48	instantiation	54	⊢
	: , :
49	instantiation	54	⊢
	: , :
50	instantiation	55, 57	⊢
	:
51	instantiation	56, 57	⊢
	:
52	instantiation	66, 64, 58	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
56	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
57	instantiation	66, 59, 60	⊢
	: , : , :
58	instantiation	66, 67, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
60	instantiation	66, 62, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
63	instantiation	66, 64, 65	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
65	instantiation	66, 67, 68	⊢
	: , : , :
66	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements