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