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	34	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
3	instantiation	4, 16, 5	⊢
	: , :
4	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
5	instantiation	6, 7, 14, 8	⊢
	: , :
6	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
7	instantiation	34, 18, 9	⊢
	: , : , :
8	instantiation	10, 11	⊢
	:
9	instantiation	34, 23, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
11	instantiation	34, 13, 14	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
14	instantiation	15, 16, 17	⊢
	: , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
16	instantiation	34, 18, 19	⊢
	: , : , :
17	instantiation	20, 21, 22	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
19	instantiation	34, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
21	instantiation	25, 27, 28, 29	⊢
	: , : , :
22	instantiation	26, 27, 28, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
28	instantiation	34, 30, 31	⊢
	: , : , :
29	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	34, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1