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	reference	19	⊢
2	instantiation	8, 6, 7	, , ,  ⊢
	: , :
3	instantiation	8, 11, 10	, ,  ⊢
	: , :
4	instantiation	8, 12, 10	, ,  ⊢
	: , :
5	instantiation	9, 10, 11, 12, 13, 14	, , , ,  ⊢
	: , : , :
6	instantiation	17, 15, 22	,  ⊢
	: , :
7	instantiation	29, 30, 16	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
9	theorem		⊢
	proveit.numbers.multiplication.strong_bound_via_left_factor_bound
10	instantiation	29, 30, 25	,  ⊢
	: , : , :
11	instantiation	17, 21, 20	,  ⊢
	: , :
12	instantiation	29, 30, 18	,  ⊢
	: , : , :
13	instantiation	19, 20, 21, 22, 23	, , ,  ⊢
	: , : , :
14	instantiation	24, 25	,  ⊢
	:
15	instantiation	29, 30, 26	⊢
	: , : , :
16	instantiation	32, 34, 27	,  ⊢
	: , :
17	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
18	instantiation	32, 31, 33	,  ⊢
	: , :
19	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
20	instantiation	29, 30, 33	⊢
	: , : , :
21	instantiation	29, 30, 28	⊢
	: , : , :
22	instantiation	29, 30, 31	⊢
	: , : , :
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
25	instantiation	32, 33, 34	,  ⊢
	: , :
26	assumption		⊢
27	assumption		⊢
28	assumption		⊢
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
33	assumption		⊢
34	assumption		⊢