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	, , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	reference	28	⊢
3	reference	32	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	33, 12, 11	, ⊢
	: , : , :
8	instantiation	33, 12, 18	⊢
	: , : , :
9	instantiation	33, 12, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	14, 15, 16	, ⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	instantiation	17, 18, 19	⊢
	: , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
15	assumption		⊢
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
18	instantiation	33, 21, 20	⊢
	: , : , :
19	instantiation	33, 21, 22	⊢
	: , : , :
20	instantiation	33, 24, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	33, 24, 25	⊢
	: , : , :
23	instantiation	33, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	33, 34, 28	⊢
	: , : , :
26	instantiation	29, 30, 31	⊢
	: , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
29	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
30	instantiation	33, 34, 32	⊢
	: , : , :
31	instantiation	33, 34, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat4