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.nonneg_if_in_real_nonneg
2	instantiation	35, 3, 4	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonneg
4	instantiation	5, 8, 6	⊢
	: , :
5	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
6	instantiation	7, 8, 15, 9	⊢
	: , :
7	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
8	instantiation	35, 19, 10	⊢
	: , : , :
9	instantiation	11, 12	⊢
	:
10	instantiation	35, 24, 13	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
12	instantiation	35, 14, 15	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
15	instantiation	16, 17, 18	⊢
	: , :
16	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
17	instantiation	35, 19, 20	⊢
	: , : , :
18	instantiation	21, 22, 23	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
20	instantiation	35, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
22	instantiation	26, 28, 29, 30	⊢
	: , : , :
23	instantiation	27, 28, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
29	instantiation	35, 31, 32	⊢
	: , : , :
30	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	35, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1