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.numbers.exponentiation.exp_complex_closure
2	instantiation	52, 26, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	52, 33, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	13, 14, 9	⊢
	: , :
7	instantiation	10, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
9	instantiation	13, 22, 23	⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	15, 51, 54, 16, 19, 17, 14, 22, 23	⊢
	: , : , : , : , : , :
12	instantiation	15, 16, 54, 17, 18, 19, 20, 21, 22, 23	⊢
	: , : , : , : , : , :
13	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
14	instantiation	52, 26, 24	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.disassociation
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	25	⊢
	: , :
19	instantiation	25	⊢
	: , :
20	instantiation	52, 26, 41	⊢
	: , : , :
21	instantiation	52, 26, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
23	instantiation	52, 26, 27	⊢
	: , : , :
24	instantiation	28, 41, 29	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	30, 31, 36, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
29	instantiation	52, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
31	instantiation	35, 36	⊢
	:
32	instantiation	37, 38	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
35	theorem		⊢
	proveit.numbers.negation.real_closure
36	instantiation	39, 40, 41, 42	⊢
	: , :
37	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
38	assumption		⊢
39	theorem		⊢
	proveit.numbers.division.div_real_closure
40	instantiation	52, 44, 43	⊢
	: , : , :
41	instantiation	52, 44, 45	⊢
	: , : , :
42	instantiation	46, 47	⊢
	:
43	instantiation	52, 49, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	52, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
48	instantiation	52, 53, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
50	instantiation	52, 53, 54	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat2