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.exponentiation.exp_real_closure_nat_power
2	instantiation	4, 5, 6	,  ⊢
	: , :
3	reference	40	⊢
4	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
5	instantiation	38, 17, 7	,  ⊢
	: , : , :
6	instantiation	8, 9	⊢
	:
7	instantiation	38, 21, 10	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.negation.real_closure
9	instantiation	11, 12, 13, 14	⊢
	: , : , :
10	instantiation	38, 15, 16	,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
13	instantiation	38, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
15	instantiation	27, 19, 20	⊢
	: , :
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	38, 21, 28	⊢
	: , : , :
19	instantiation	31, 22, 28	⊢
	: , :
20	instantiation	36, 23	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	36, 32	⊢
	:
23	instantiation	31, 24, 28	⊢
	: , :
24	instantiation	38, 25, 26	⊢
	: , : , :
25	instantiation	27, 28, 29	⊢
	: , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
28	instantiation	38, 39, 30	⊢
	: , : , :
29	instantiation	31, 32, 33	⊢
	: , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
31	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
32	instantiation	38, 34, 35	⊢
	: , : , :
33	instantiation	36, 37	⊢
	:
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
35	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
36	theorem		⊢
	proveit.numbers.negation.int_closure
37	instantiation	38, 39, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2