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	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 16, 5	⊢
	: , :
3	instantiation	6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
5	instantiation	8, 9, 10	⊢
	: , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	11, 26	⊢
	:
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
10	instantiation	12, 13	⊢
	:
11	axiom		⊢
	proveit.physics.quantum.QPE._delta_b_def
12	theorem		⊢
	proveit.numbers.negation.real_closure
13	instantiation	14, 15, 16, 17	⊢
	: , :
14	theorem		⊢
	proveit.numbers.division.div_real_closure
15	instantiation	24, 18, 19	⊢
	: , : , :
16	instantiation	20, 21, 23	⊢
	: , : , :
17	instantiation	22, 23	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	24, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	27, 28	⊢
	: , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
23	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
27	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real