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.multiplication.mult_not_eq_zero
2	reference	54	⊢
3	instantiation	6	⊢
	: , :
4	instantiation	52, 7, 8	⊢
	: , : , :
5	instantiation	9, 10, 11	⊢
	:
6	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
8	instantiation	52, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
10	instantiation	52, 14, 15	⊢
	: , : , :
11	instantiation	16, 17, 18	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
13	instantiation	52, 23, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	20, 21, 54	⊢
	: , :
16	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
17	instantiation	52, 23, 22	⊢
	: , : , :
18	instantiation	52, 23, 24	⊢
	: , : , :
19	instantiation	52, 29, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
21	instantiation	52, 26, 27	⊢
	: , : , :
22	instantiation	52, 29, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
24	instantiation	52, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	52, 31, 33	⊢
	: , : , :
28	instantiation	32, 33, 34	⊢
	:
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
33	instantiation	52, 35, 43	⊢
	: , : , :
34	instantiation	36, 37, 38	⊢
	: , : , :
35	instantiation	39, 41, 42	⊢
	: , :
36	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
37	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
38	instantiation	40, 41, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
40	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
41	instantiation	52, 53, 44	⊢
	: , : , :
42	instantiation	45, 46, 47	⊢
	: , :
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
46	instantiation	52, 48, 49	⊢
	: , : , :
47	instantiation	50, 51	⊢
	:
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
49	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
50	theorem		⊢
	proveit.numbers.negation.int_closure
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat2