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.complex_numbers.real_nonzero_within_complex_nonzero
3	instantiation	34, 4, 5	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
5	instantiation	6, 7, 8	⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
7	instantiation	34, 15, 9	⊢
	: , : , :
8	instantiation	10, 11, 12, 13	⊢
	: , :
9	instantiation	34, 20, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
11	instantiation	34, 15, 16	⊢
	: , : , :
12	instantiation	17, 23, 24	⊢
	:
13	instantiation	18, 19	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
16	instantiation	34, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
18	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
19	instantiation	22, 27, 23, 24	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
22	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
23	instantiation	25, 27, 28, 29	⊢
	: , : , :
24	instantiation	26, 27, 28, 29	⊢
	: , : , :
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