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.multiplication.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	31	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	11	⊢
	: , :
6	instantiation	11	⊢
	: , :
7	instantiation	32, 14, 12	⊢
	: , : , :
8	instantiation	32, 14, 13	⊢
	: , : , :
9	instantiation	32, 14, 17	⊢
	: , : , :
10	instantiation	32, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	assumption		⊢
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	16, 17, 18	⊢
	: , :
16	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
17	instantiation	32, 20, 19	⊢
	: , : , :
18	instantiation	32, 20, 21	⊢
	: , : , :
19	instantiation	32, 23, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	32, 23, 24	⊢
	: , : , :
22	instantiation	32, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	32, 33, 27	⊢
	: , : , :
25	instantiation	28, 29, 30	⊢
	: , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
28	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
29	instantiation	32, 33, 31	⊢
	: , : , :
30	instantiation	32, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat4