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