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, 11	, , , , , ⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	12	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	25, 14, 13	⊢
	: , : , :
8	instantiation	25, 14, 15	⊢
	: , : , :
9	instantiation	16, 17, 18	, ⊢
	: , :
10	assumption		⊢
11	assumption		⊢
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
13	instantiation	25, 20, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	25, 20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
17	assumption		⊢
18	instantiation	22, 23	⊢
	:
19	instantiation	25, 26, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	25, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.negation.complex_closure
23	assumption		⊢
24	assumption		⊢
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	assumption		⊢