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