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