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, 4, 5, 6, 7, 8, 9, 10^*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	50	⊢
4	reference	40	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , :
7	reference	23	⊢
8	reference	22	⊢
9	instantiation	12, 13	⊢
	:
10	instantiation	14, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	theorem		⊢
	proveit.numbers.negation.complex_closure
13	instantiation	48, 27, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.equality.sub_right_side_into
15	instantiation	18, 22, 19, 20	⊢
	: , : , :
16	instantiation	21, 22, 23	⊢
	: , :
17	instantiation	48, 32, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
19	instantiation	48, 27, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
21	theorem		⊢
	proveit.numbers.addition.commutation
22	instantiation	48, 27, 26	⊢
	: , : , :
23	instantiation	48, 27, 28	⊢
	: , : , :
24	instantiation	48, 36, 29	⊢
	: , : , :
25	instantiation	48, 32, 30	⊢
	: , : , :
26	instantiation	48, 32, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	48, 32, 33	⊢
	: , : , :
29	instantiation	48, 34, 35	⊢
	: , : , :
30	instantiation	48, 36, 47	⊢
	: , : , :
31	instantiation	48, 36, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	48, 36, 43	⊢
	: , : , :
34	instantiation	37, 38, 39	⊢
	: , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
38	instantiation	48, 49, 40	⊢
	: , : , :
39	instantiation	41, 42, 43	⊢
	: , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	instantiation	48, 44, 45	⊢
	: , : , :
43	instantiation	46, 47	⊢
	:
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
46	theorem		⊢
	proveit.numbers.negation.int_closure
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
^*equality replacement requirements