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	⊢
	: , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	50	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	48, 11, 9	⊢
	: , : , :
6	instantiation	48, 11, 10	⊢
	: , : , :
7	instantiation	48, 11, 12	⊢
	: , : , :
8	instantiation	13	⊢
	:
9	instantiation	48, 38, 14	⊢
	: , : , :
10	instantiation	15, 22	⊢
	:
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
12	instantiation	48, 38, 16	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.equals_reflexivity
14	instantiation	48, 43, 17	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.real_closure
16	instantiation	48, 43, 18	⊢
	: , : , :
17	instantiation	48, 19, 20	⊢
	: , : , :
18	instantiation	21, 22	⊢
	:
19	instantiation	23, 24, 25	⊢
	: , :
20	assumption		⊢
21	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
22	instantiation	26, 27, 28	⊢
	: , :
23	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
24	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
25	instantiation	29, 37, 30	⊢
	: , :
26	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
27	instantiation	48, 38, 31	⊢
	: , : , :
28	instantiation	32, 33, 34, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
30	instantiation	36, 44	⊢
	:
31	instantiation	48, 43, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
34	instantiation	48, 38, 39	⊢
	: , : , :
35	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
36	theorem		⊢
	proveit.numbers.negation.int_closure
37	instantiation	40, 41, 42	⊢
	: , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	48, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
41	instantiation	48, 49, 45	⊢
	: , : , :
42	instantiation	48, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	48, 49, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
47	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
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.nat1