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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	8, 10, 4, 5, 6, 7, 12, 14, 15, 16, 13	, , , , , ⊢
	: , : , : , : , : , : , :
3	instantiation	8, 9, 10, 11, 12, 13, 14, 15, 16	, , , , , ⊢
	: , : , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	17	⊢
	: , : , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
11	instantiation	18	⊢
	: , :
12	instantiation	31, 20, 19	⊢
	: , : , :
13	assumption		⊢
14	instantiation	31, 20, 21	⊢
	: , : , :
15	instantiation	22, 23, 24	, ⊢
	: , :
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	instantiation	31, 26, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	31, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
23	assumption		⊢
24	instantiation	28, 29	⊢
	:
25	instantiation	31, 32, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	31, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.complex_closure
29	assumption		⊢
30	assumption		⊢
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	assumption		⊢