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