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_right_factor_bound
2	instantiation	19, 7, 8	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	19, 9, 11	⊢
	: , : , :
5	instantiation	10, 11	⊢
	:
6	instantiation	12, 14	⊢
	:
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
8	instantiation	19, 13, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
12	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.positive_if_in_rational_pos
13	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
14	instantiation	15, 16, 17	⊢
	: , :
15	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
16	instantiation	19, 20, 18	⊢
	: , : , :
17	instantiation	19, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
19	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2