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	⊢
	: , : , :
1	reference	32	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
3	instantiation	4, 5, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
5	instantiation	32, 13, 7	⊢
	: , : , :
6	instantiation	8, 9, 10, 11	⊢
	: , :
7	instantiation	32, 18, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
9	instantiation	32, 13, 14	⊢
	: , : , :
10	instantiation	15, 21, 22	⊢
	:
11	instantiation	16, 17	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
14	instantiation	32, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
16	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
17	instantiation	20, 25, 21, 22	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
20	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
21	instantiation	23, 25, 26, 27	⊢
	: , : , :
22	instantiation	24, 25, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
26	instantiation	32, 28, 29	⊢
	: , : , :
27	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	32, 30, 31	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	32, 33, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1