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