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	modus ponens	1, 2	, , ⊢
1	instantiation	3, 26, 27, 4	⊢
	: , : , : , :
2	generalization	5	, , ⊢
3	theorem		⊢
	proveit.logic.booleans.conjunction.conjunction_from_quantification
4	instantiation	6, 7	⊢
	:
5	instantiation	8, 9, 10	, , , ⊢
	: , : , : , :
6	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
7	instantiation	11, 33, 12	⊢
	: , :
8	theorem		⊢
	proveit.physics.quantum.circuits.qcircuit_output_part_neq
9	instantiation	13, 14, 15	⊢
	:
10	instantiation	16, 33, 17, 18, 19	, , ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
13	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
14	instantiation	31, 20, 28	⊢
	: , : , :
15	instantiation	21, 22, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.physics.quantum.algebra.num_ket_neq
17	assumption		⊢
18	assumption		⊢
19	assumption		⊢
20	instantiation	24, 26, 27	⊢
	: , :
21	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
22	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
23	instantiation	25, 26, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
25	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
26	instantiation	31, 29, 30	⊢
	: , : , :
27	instantiation	31, 32, 33	⊢
	: , : , :
28	assumption		⊢
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	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos