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	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	reference	44	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , : , :
7	instantiation	45, 17, 22	⊢
	: , : , :
8	reference	14	⊢
9	instantiation	13, 12	⊢
	:
10	instantiation	13, 14	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	instantiation	31, 15, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	instantiation	45, 17, 23	⊢
	: , : , :
15	instantiation	39, 18	⊢
	: , :
16	instantiation	19, 20	⊢
	:
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.int_within_complex
19	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
20	instantiation	21, 22, 23	⊢
	: , :
21	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
22	instantiation	24, 25, 26	⊢
	: , :
23	instantiation	27, 28, 29, 30	⊢
	: , :
24	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
25	instantiation	31, 32, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
27	theorem		⊢
	proveit.numbers.division.div_real_closure
28	instantiation	45, 35, 34	⊢
	: , : , :
29	instantiation	45, 35, 36	⊢
	: , : , :
30	instantiation	37, 38	⊢
	:
31	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
32	instantiation	39, 40	⊢
	: , :
33	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
34	instantiation	45, 42, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	45, 42, 43	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
41	instantiation	45, 46, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	45, 46, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2