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.addition.commutation
2	instantiation	31, 5, 4	⊢
	: , : , :
3	instantiation	31, 5, 6	⊢
	: , : , :
4	instantiation	7, 11	⊢
	:
5	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
6	instantiation	31, 21, 8	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.negation.real_closure
8	instantiation	31, 26, 9	⊢
	: , : , :
9	instantiation	10, 11	⊢
	:
10	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
11	instantiation	12, 13, 14	⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
13	instantiation	31, 21, 15	⊢
	: , : , :
14	instantiation	16, 17, 18, 19	⊢
	: , : , :
15	instantiation	31, 26, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
18	instantiation	31, 21, 22	⊢
	: , : , :
19	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
20	instantiation	23, 24, 25	⊢
	: , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	31, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
24	instantiation	31, 32, 28	⊢
	: , : , :
25	instantiation	31, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	31, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
30	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1