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	29	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
3	instantiation	29, 4, 5	, ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
5	instantiation	6, 7, 8	, ⊢
	: , :
6	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
7	instantiation	9, 10, 11	, ⊢
	:
8	instantiation	29, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_rational_is_rational_nonzero
10	instantiation	29, 14, 15	⊢
	: , : , :
11	assumption		⊢
12	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
13	instantiation	29, 16, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
15	instantiation	29, 18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
17	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
18	instantiation	20, 21, 26	⊢
	: , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
21	instantiation	22, 23, 24	⊢
	: , :
22	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
23	instantiation	25, 26	⊢
	:
24	instantiation	29, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.negation.int_closure
26	instantiation	29, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
31	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos