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