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