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	26	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	4, 5, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
5	instantiation	26, 22, 7	⊢
	: , : , :
6	instantiation	8, 20, 15, 9	⊢
	: , :
7	instantiation	26, 24, 10	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.division.div_real_closure
9	instantiation	11, 12	⊢
	: , :
10	instantiation	26, 27, 13	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
12	instantiation	14, 19, 15, 16	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
14	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
15	instantiation	17, 19, 20, 21	⊢
	: , : , :
16	instantiation	18, 19, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
20	instantiation	26, 22, 23	⊢
	: , : , :
21	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	26, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1