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.numbers.division.div_real_closure
2	instantiation	40, 11, 5	⊢
	: , : , :
3	instantiation	6, 7, 42	⊢
	: , :
4	instantiation	8, 9, 10	⊢
	: , :
5	instantiation	40, 16, 29	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
7	instantiation	40, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
9	instantiation	40, 14, 13	⊢
	: , : , :
10	instantiation	40, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
12	instantiation	40, 16, 21	⊢
	: , : , :
13	instantiation	40, 18, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
15	instantiation	40, 18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
17	instantiation	20, 21, 22	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
20	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
21	instantiation	40, 23, 31	⊢
	: , : , :
22	instantiation	24, 25, 26	⊢
	: , : , :
23	instantiation	27, 29, 30	⊢
	: , :
24	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
25	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
26	instantiation	28, 29, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
28	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
29	instantiation	40, 41, 32	⊢
	: , : , :
30	instantiation	33, 34, 35	⊢
	: , :
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
34	instantiation	40, 36, 37	⊢
	: , : , :
35	instantiation	38, 39	⊢
	:
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
37	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
38	theorem		⊢
	proveit.numbers.negation.int_closure
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2