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	⊢
	:
1	theorem		⊢
	proveit.numbers.division.frac_one_denom
2	instantiation	3, 4, 5	⊢
	: , : , :
3	theorem		⊢
	proveit.logic.equality.sub_right_side_into
4	instantiation	39, 40, 6	⊢
	: , : , :
5	instantiation	7, 8, 38, 9, 10, 11, 12, 13, 14	⊢
	: , : , : , : , : , :
6	instantiation	18, 15, 17	⊢
	: , :
7	theorem		⊢
	proveit.numbers.multiplication.disassociation
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	16	⊢
	: , :
12	instantiation	39, 40, 19	⊢
	: , : , :
13	instantiation	39, 40, 20	⊢
	: , : , :
14	instantiation	39, 40, 17	⊢
	: , : , :
15	instantiation	18, 19, 20	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	instantiation	39, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
19	instantiation	39, 23, 24	⊢
	: , : , :
20	instantiation	25, 26, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
22	instantiation	28, 29	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	39, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
26	instantiation	32, 33	⊢
	: , :
27	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
28	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
29	instantiation	34, 35, 36	⊢
	:
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	39, 37, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
35	instantiation	39, 40, 41	⊢
	: , : , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	42, 43	⊢
	:
42	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
43	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int