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	⊢
	:
1	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
2	instantiation	23, 4, 14	⊢
	: , : , :
3	instantiation	5, 6	⊢
	: , :
4	instantiation	7, 12, 13	⊢
	: , :
5	theorem		⊢
	proveit.numbers.ordering.relax_less
6	instantiation	8, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
8	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
9	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
10	instantiation	11, 12, 13, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
12	instantiation	23, 24, 15	⊢
	: , : , :
13	instantiation	16, 17, 18	⊢
	: , :
14	assumption		⊢
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
16	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
17	instantiation	23, 19, 20	⊢
	: , : , :
18	instantiation	21, 22	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
20	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
21	theorem		⊢
	proveit.numbers.negation.int_closure
22	instantiation	23, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2