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, 5, 6, 7, 8, 9, 10	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	reference	49	⊢
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	instantiation	11	⊢
	: , :
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	reference	14	⊢
8	instantiation	52, 17, 12	⊢
	: , : , :
9	instantiation	13, 14	⊢
	:
10	instantiation	52, 17, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	16, 24	⊢
	:
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	instantiation	52, 17, 18	⊢
	: , : , :
15	instantiation	52, 41, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.negation.real_closure
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	52, 41, 20	⊢
	: , : , :
19	instantiation	52, 47, 21	⊢
	: , : , :
20	instantiation	52, 47, 22	⊢
	: , : , :
21	instantiation	23, 24	⊢
	:
22	instantiation	52, 25, 26	⊢
	: , : , :
23	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
24	instantiation	27, 28, 29	⊢
	: , :
25	instantiation	30, 31, 32	⊢
	: , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
28	instantiation	52, 41, 33	⊢
	: , : , :
29	instantiation	34, 35, 36, 37	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
31	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
32	instantiation	38, 40, 39	⊢
	: , :
33	instantiation	52, 47, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
36	instantiation	52, 41, 42	⊢
	: , : , :
37	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
38	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
39	instantiation	43, 48	⊢
	:
40	instantiation	44, 45, 46	⊢
	: , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
42	instantiation	52, 47, 48	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.negation.int_closure
44	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
45	instantiation	52, 53, 49	⊢
	: , : , :
46	instantiation	52, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	52, 53, 54	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
50	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
51	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1