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.ordering.less_eq_add_right_strong
2	reference	25	⊢
3	instantiation	15, 16, 7	⊢
	: , : , :
4	reference	9	⊢
5	instantiation	8, 25, 9, 10, 11, 12, 13*	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
7	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
8	theorem		⊢
	proveit.numbers.exponentiation.exp_monotonicity_large_base_less_eq
9	instantiation	31, 27, 14	⊢
	: , : , :
10	instantiation	15, 16, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
12	instantiation	17, 18	⊢
	:
13	instantiation	19, 20	⊢
	:
14	instantiation	31, 29, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
16	instantiation	22, 23	⊢
	: , :
17	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
18	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
19	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
20	instantiation	31, 24, 25	⊢
	: , : , :
21	instantiation	31, 32, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	31, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	31, 29, 30	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements