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	12	⊢
2	instantiation	3, 27, 4, 5, 6*	⊢
	: , :
3	theorem		⊢
	proveit.numbers.division.div_as_mult
4	instantiation	46, 37, 7	⊢
	: , : , :
5	instantiation	24, 11	⊢
	:
6	instantiation	8, 9, 10	⊢
	: , : , :
7	instantiation	42, 43, 11	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	12, 13	⊢
	: , : , :
10	instantiation	14, 15	⊢
	:
11	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	16, 21, 38, 17, 18, 19*	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
15	instantiation	20, 21, 22	⊢
	: , :
16	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
17	instantiation	23, 31	⊢
	:
18	instantiation	24, 25	⊢
	:
19	instantiation	26, 33, 27, 28*	⊢
	: , :
20	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
21	instantiation	46, 37, 29	⊢
	: , : , :
22	instantiation	30, 33	⊢
	:
23	theorem		⊢
	proveit.numbers.negation.real_closure
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
26	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
27	instantiation	46, 37, 31	⊢
	: , : , :
28	instantiation	32, 33	⊢
	:
29	instantiation	46, 35, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.negation.complex_closure
31	instantiation	46, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
33	instantiation	46, 37, 38	⊢
	: , : , :
34	instantiation	46, 40, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	46, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	42, 43, 44	⊢
	: , : , :
39	instantiation	46, 47, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	46, 47, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
43	instantiation	49, 50	⊢
	: , :
44	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
49	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements