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