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.physics.quantum.QPE._psi_t_def
2	instantiation	4, 48, 5	⊢
	: , :
3	instantiation	10, 6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
5	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
6	instantiation	8, 9	⊢
	: , : , :
7	instantiation	10, 11, 12	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.substitution
9	instantiation	13, 14, 27	⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	15, 16, 17, 45, 18, 19, 22, 20, 27	⊢
	: , : , : , : , : , :
12	instantiation	21, 27, 22, 23	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
14	instantiation	46, 32, 24	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.disassociation
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	25	⊢
	: , :
20	instantiation	26, 27	⊢
	:
21	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
22	instantiation	46, 32, 28	⊢
	: , : , :
23	instantiation	29	⊢
	:
24	instantiation	30, 31, 48	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	theorem		⊢
	proveit.numbers.negation.complex_closure
27	instantiation	46, 32, 33	⊢
	: , : , :
28	instantiation	46, 37, 34	⊢
	: , : , :
29	axiom		⊢
	proveit.logic.equality.equals_reflexivity
30	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
31	instantiation	35, 36	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	46, 37, 38	⊢
	: , : , :
34	instantiation	46, 40, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	46, 40, 41	⊢
	: , : , :
39	instantiation	42, 43	⊢
	:
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	46, 44, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.negation.int_closure
43	instantiation	46, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
48	assumption		⊢