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.logic.equality.four_chain_transitivity
2	instantiation	8, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	: , :
4	instantiation	8, 9	⊢
	: , : , :
5	instantiation	10, 11, 12	⊢
	: , :
6	theorem		⊢
	proveit.logic.equality.equals_reversal
7	instantiation	13, 14, 20, 19, 15	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.substitution
9	instantiation	16, 17, 18	⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.commutation
11	instantiation	46, 21, 19	⊢
	: , : , :
12	instantiation	46, 21, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
14	instantiation	46, 21, 22	⊢
	: , : , :
15	instantiation	23, 45	⊢
	:
16	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
17	instantiation	46, 24, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
19	instantiation	26, 27, 28	⊢
	: , : , :
20	instantiation	46, 30, 29	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	46, 30, 31	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
25	instantiation	46, 32, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
27	instantiation	34, 35	⊢
	: , :
28	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
29	instantiation	46, 37, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	46, 37, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
33	instantiation	46, 39, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
36	instantiation	41, 42	⊢
	:
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	46, 47, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
40	instantiation	46, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.negation.int_closure
42	instantiation	46, 47, 48	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
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