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	16	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8, 9	⊢
	: , : , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	11, 24, 56, 23, 26, 25, 32, 27, 28	⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
7	instantiation	11, 24, 12, 23, 26, 13, 32, 27, 28, 10	⊢
	: , : , : , : , : , :
8	instantiation	11, 12, 56, 24, 13, 14, 26, 32, 27, 28, 31, 15	⊢
	: , : , : , : , : , :
9	instantiation	16, 17, 18	⊢
	: , : , :
10	instantiation	54, 38, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.disassociation
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	instantiation	20	⊢
	: , : , :
14	instantiation	36	⊢
	: , :
15	instantiation	21, 28	⊢
	:
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	22, 56, 23, 24, 25, 26, 32, 27, 28, 31, 29	⊢
	: , : , : , : , : , : , : , :
18	instantiation	30, 31, 32, 33	⊢
	: , : , :
19	instantiation	34, 43, 35	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	theorem		⊢
	proveit.numbers.negation.complex_closure
22	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	instantiation	36	⊢
	: , :
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	instantiation	54, 38, 37	⊢
	: , : , :
28	instantiation	54, 38, 41	⊢
	: , : , :
29	instantiation	40	⊢
	:
30	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
31	instantiation	54, 38, 43	⊢
	: , : , :
32	instantiation	54, 38, 39	⊢
	: , : , :
33	instantiation	40	⊢
	:
34	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
35	instantiation	42, 41	⊢
	:
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
37	instantiation	42, 43	⊢
	:
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	47, 48, 44	⊢
	: , : , :
40	axiom		⊢
	proveit.logic.equality.equals_reflexivity
41	instantiation	54, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.negation.real_closure
43	instantiation	47, 48, 49	⊢
	: , : , :
44	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	54, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
48	instantiation	52, 53	⊢
	: , :
49	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	54, 55, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2