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	23	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
3	instantiation	4, 5, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
5	instantiation	23, 7, 8	⊢
	: , : , :
6	instantiation	9, 10, 11	⊢
	:
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
8	instantiation	23, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
10	instantiation	14, 16, 17, 18	⊢
	: , : , :
11	instantiation	15, 16, 17, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
17	instantiation	23, 19, 20	⊢
	: , : , :
18	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	23, 21, 22	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	23, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat1