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.multiplication.strong_bound_via_left_factor_bound
2	instantiation	17, 18, 15	,  ⊢
	: , : , :
3	instantiation	7, 11, 10	,  ⊢
	: , :
4	instantiation	17, 18, 8	,  ⊢
	: , : , :
5	instantiation	9, 10, 11, 12, 13	, , ,  ⊢
	: , : , :
6	instantiation	14, 15	,  ⊢
	:
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	instantiation	20, 19, 21	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
10	instantiation	17, 18, 21	⊢
	: , : , :
11	instantiation	17, 18, 16	⊢
	: , : , :
12	instantiation	17, 18, 19	⊢
	: , : , :
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
15	instantiation	20, 21, 22	,  ⊢
	: , :
16	assumption		⊢
17	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
21	assumption		⊢
22	assumption		⊢