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	31	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	31, 4, 5	, ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
5	instantiation	31, 6, 7	, ⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
7	instantiation	8, 9, 10	, ⊢
	: , :
8	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
9	instantiation	11, 12, 13	, ⊢
	:
10	instantiation	31, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_rational_is_rational_nonzero
12	instantiation	31, 16, 17	⊢
	: , : , :
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
15	instantiation	31, 18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
17	instantiation	31, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
19	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
20	instantiation	22, 23, 28	⊢
	: , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
23	instantiation	24, 25, 26	⊢
	: , :
24	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
25	instantiation	27, 28	⊢
	:
26	instantiation	31, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.negation.int_closure
28	instantiation	31, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
33	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos