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, 11	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	12	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	30, 16, 13	⊢
	: , : , :
8	instantiation	30, 16, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
10	instantiation	30, 16, 15	⊢
	: , : , :
11	instantiation	30, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
13	instantiation	30, 21, 18	⊢
	: , : , :
14	instantiation	30, 19, 20	⊢
	: , : , :
15	instantiation	30, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
18	instantiation	30, 23, 26	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	30, 23, 24	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	25, 26, 27	⊢
	: , :
25	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
26	instantiation	30, 28, 29	⊢
	: , : , :
27	instantiation	30, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
32	assumption		⊢