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*	,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.exponentiation.even_pow_is_even_fn
2	instantiation	38, 9, 5	,  ⊢
	: , : , :
3	reference	30	⊢
4	instantiation	6, 7	⊢
	:
5	instantiation	38, 12, 8	,  ⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
7	instantiation	38, 9, 10	⊢
	: , : , :
8	instantiation	38, 16, 11	,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
10	instantiation	38, 12, 13	⊢
	: , : , :
11	instantiation	38, 14, 15	,  ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
13	instantiation	38, 16, 37	⊢
	: , : , :
14	instantiation	25, 17, 18	⊢
	: , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
17	instantiation	31, 19, 26	⊢
	: , :
18	instantiation	31, 32, 20	⊢
	: , :
19	instantiation	38, 21, 22	⊢
	: , : , :
20	instantiation	38, 23, 24	⊢
	: , : , :
21	instantiation	25, 26, 27	⊢
	: , :
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
24	instantiation	28, 29	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
26	instantiation	38, 39, 30	⊢
	: , : , :
27	instantiation	31, 32, 33	⊢
	: , :
28	theorem		⊢
	proveit.numbers.negation.int_neg_closure
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
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
*equality replacement requirements