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	⊢
	:
1	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
2	instantiation	33, 3, 4	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
4	instantiation	5, 6, 7	⊢
	: , :
5	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
6	instantiation	33, 14, 8	⊢
	: , : , :
7	instantiation	9, 10, 11, 12	⊢
	: , :
8	instantiation	33, 19, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
10	instantiation	33, 14, 15	⊢
	: , : , :
11	instantiation	16, 22, 23	⊢
	:
12	instantiation	17, 18	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
15	instantiation	33, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
17	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
18	instantiation	21, 26, 22, 23	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
21	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
22	instantiation	24, 26, 27, 28	⊢
	: , : , :
23	instantiation	25, 26, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
27	instantiation	33, 29, 30	⊢
	: , : , :
28	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	33, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1