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	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
2	instantiation	4, 5, 6	,  ⊢
	: , :
3	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
4	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
5	instantiation	30, 7, 8	⊢
	: , : , :
6	instantiation	9, 10	,  ⊢
	:
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
8	instantiation	30, 11, 12	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.negation.nat_closure
10	instantiation	13, 14, 15	,  ⊢
	:
11	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
12	instantiation	30, 28, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
14	instantiation	30, 17, 19	,  ⊢
	: , : , :
15	instantiation	18, 21, 22, 19	,  ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
17	instantiation	20, 21, 22	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
21	instantiation	23, 24, 25	⊢
	: , :
22	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
23	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
24	instantiation	26, 27	⊢
	:
25	instantiation	30, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.int_closure
27	instantiation	30, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
32	assumption		⊢