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	15	⊢
2	instantiation	4, 5	⊢
	:
3	instantiation	19, 6, 25, 7	, ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
5	instantiation	8, 9, 10	⊢
	: , :
6	instantiation	24, 12, 20	⊢
	: , :
7	assumption		⊢
8	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
9	instantiation	11, 12, 13	⊢
	:
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
11	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
12	instantiation	31, 14, 22	⊢
	: , : , :
13	instantiation	15, 16, 17	⊢
	: , : , :
14	instantiation	18, 20, 21	⊢
	: , :
15	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
16	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
17	instantiation	19, 20, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
19	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
20	instantiation	31, 32, 23	⊢
	: , : , :
21	instantiation	24, 25, 26	⊢
	: , :
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
25	instantiation	31, 27, 28	⊢
	: , : , :
26	instantiation	29, 30	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
28	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
29	theorem		⊢
	proveit.numbers.negation.int_closure
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2