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	4, 5, 6, 7, 8, 9, 10, 11, 12, 20	, , , ⊢
	: , : , : , : , : , : , :
3	instantiation	13, 14	, ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	15	⊢
	: , :
10	instantiation	27, 24, 16	⊢
	: , : , :
11	instantiation	27, 24, 17	⊢
	: , : , :
12	instantiation	18, 20, 21	, ⊢
	: , :
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	19, 20, 21	, ⊢
	: , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	27, 28, 22	⊢
	: , : , :
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
19	theorem		⊢
	proveit.numbers.addition.commutation
20	instantiation	27, 24, 23	⊢
	: , : , :
21	instantiation	27, 24, 25	⊢
	: , : , :
22	assumption		⊢
23	instantiation	27, 28, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	27, 28, 29	⊢
	: , : , :
26	assumption		⊢
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
29	assumption		⊢