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, 6*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
2	instantiation	33, 30, 7	⊢
	: , : , :
3	instantiation	8, 36, 31	⊢
	: , :
4	reference	29	⊢
5	instantiation	9, 10	⊢
	:
6	instantiation	11, 12, 13	⊢
	: , : , :
7	instantiation	33, 14, 15	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
11	axiom		⊢
	proveit.logic.equality.equals_transitivity
12	instantiation	16, 17, 35, 18, 19, 20, 23, 24, 21	⊢
	: , : , : , : , : , :
13	instantiation	22, 23, 24, 25	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
15	instantiation	33, 26, 27	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.disassociation
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	instantiation	28	⊢
	: , :
21	instantiation	33, 30, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
23	instantiation	33, 30, 36	⊢
	: , : , :
24	instantiation	33, 30, 31	⊢
	: , : , :
25	instantiation	32	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	33, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	instantiation	37, 36	⊢
	:
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	37, 38	⊢
	:
32	axiom		⊢
	proveit.logic.equality.equals_reflexivity
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	instantiation	40, 41, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.negation.real_closure
38	instantiation	40, 41, 42	⊢
	: , : , :
39	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
40	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
41	instantiation	43, 44	⊢
	: , :
42	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
43	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements