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	reference	5	⊢
2	instantiation	10, 4	, ⊢
	: , : , :
3	instantiation	5, 6, 7	, ⊢
	: , : , :
4	instantiation	8, 16, 38, 15, 18, 9, 19, 20, 21	, ⊢
	: , : , : , : , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	10, 11	, ⊢
	: , : , :
7	instantiation	12, 24, 13	, ⊢
	: , :
8	theorem		⊢
	proveit.numbers.addition.disassociation
9	instantiation	23	⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.substitution
11	instantiation	14, 15, 38, 16, 17, 18, 19, 20, 21	, ⊢
	: , : , : , : , : , :
12	theorem		⊢
	proveit.numbers.rounding.ceil_of_real_plus_int
13	instantiation	22, 31, 33	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.association
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	instantiation	23	⊢
	: , :
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	36, 26, 24	⊢
	: , : , :
20	instantiation	36, 26, 25	⊢
	: , : , :
21	instantiation	36, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	assumption		⊢
25	instantiation	36, 29, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	36, 29, 30	⊢
	: , : , :
28	instantiation	36, 32, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	36, 32, 33	⊢
	: , : , :
31	instantiation	34, 35	⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	36, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.int_closure
35	assumption		⊢
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2