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	⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
2	instantiation	24, 5, 6	⊢
	: , : , :
3	instantiation	7, 13, 14	⊢
	:
4	instantiation	8, 9	⊢
	: , :
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
6	instantiation	24, 10, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
8	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
9	instantiation	12, 17, 13, 14	⊢
	: , :
10	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
12	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
13	instantiation	15, 17, 18, 19	⊢
	: , : , :
14	instantiation	16, 17, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
18	instantiation	24, 20, 21	⊢
	: , : , :
19	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	24, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	24, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1