Show the Proof¶

In [1]:

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

Out[1]:

	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	26, 27, 12	, ⊢
	: , : , :
3	instantiation	7, 14, 18	, ⊢
	: , :
4	instantiation	7, 17, 19	, ⊢
	: , :
5	instantiation	8, 9, 10	, , , , , ⊢
	: , : , :
6	instantiation	11, 12	, ⊢
	:
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
9	instantiation	13, 18, 14, 17, 15	, , , ⊢
	: , : , :
10	instantiation	16, 17, 18, 19, 20	, , , ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
12	instantiation	21, 22, 23	, ⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
14	instantiation	26, 27, 23	⊢
	: , : , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.addition.strong_bound_via_right_term_bound
17	instantiation	26, 27, 24	⊢
	: , : , :
18	instantiation	26, 27, 25	⊢
	: , : , :
19	instantiation	26, 27, 28	⊢
	: , : , :
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
22	assumption		⊢
23	assumption		⊢
24	assumption		⊢
25	assumption		⊢
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
28	assumption		⊢