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	⊢
	: , : , :
1	reference	3	⊢
2	instantiation	3, 4	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.substitution
4	instantiation	5, 6, 52, 7*, 8*	⊢
	: , :
5	theorem		⊢
	proveit.numbers.exponentiation.even_pow_is_even_fn_rev
6	instantiation	53, 30, 9	⊢
	: , : , :
7	instantiation	10, 11	⊢
	:
8	instantiation	12, 13, 14, 15	⊢
	: , : , : , :
9	instantiation	16, 31, 17	⊢
	: , :
10	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
11	instantiation	53, 30, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
13	instantiation	19, 27, 22	⊢
	: , :
14	instantiation	20, 21, 22	⊢
	: , :
15	instantiation	23	⊢
	:
16	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
17	instantiation	24, 28	⊢
	:
18	instantiation	53, 39, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_subtract
20	theorem		⊢
	proveit.numbers.addition.commutation
21	instantiation	26, 27	⊢
	:
22	instantiation	53, 30, 28	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.equals_reflexivity
24	theorem		⊢
	proveit.numbers.negation.real_closure
25	instantiation	53, 43, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.complex_closure
27	instantiation	53, 30, 31	⊢
	: , : , :
28	instantiation	53, 39, 32	⊢
	: , : , :
29	instantiation	53, 51, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	34, 35, 36, 37	⊢
	: , : , :
32	instantiation	53, 43, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
36	instantiation	53, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
38	instantiation	53, 41, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	53, 43, 48	⊢
	: , : , :
41	instantiation	44, 45, 50	⊢
	: , :
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
45	instantiation	46, 47, 48	⊢
	: , :
46	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
47	instantiation	49, 50	⊢
	:
48	instantiation	53, 51, 52	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.negation.int_closure
50	instantiation	53, 54, 55	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
53	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
55	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements