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	reference	8	⊢
2	instantiation	8, 5, 6	, , , ⊢
	: , : , :
3	instantiation	11, 21, 22, 23, 24, 7, 13, 28, 18	, , , ⊢
	: , : , : , : , : , :
4	instantiation	8, 9, 10	, , , ⊢
	: , : , :
5	instantiation	11, 23, 22, 25, 28, 26, 27, 18	, , , ⊢
	: , : , : , : , : , :
6	instantiation	12, 21, 23, 24, 28, 13, 18	, , , ⊢
	: , : , : , : , : , : , :
7	instantiation	31	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	14, 15	, , ⊢
	: , : , :
10	instantiation	20, 21, 16, 23, 24, 17, 26, 27, 28, 18	, , , ⊢
	: , : , : , : , : , :
11	theorem		⊢
	proveit.numbers.multiplication.association
12	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
13	instantiation	19, 26, 27	, ⊢
	: , :
14	axiom		⊢
	proveit.logic.equality.substitution
15	instantiation	20, 21, 22, 23, 24, 25, 26, 27, 28	, , ⊢
	: , : , : , : , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
17	instantiation	29	⊢
	: , : , :
18	instantiation	33, 34, 30	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
20	theorem		⊢
	proveit.numbers.multiplication.disassociation
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	31	⊢
	: , :
26	instantiation	33, 34, 32	⊢
	: , : , :
27	instantiation	33, 34, 35	⊢
	: , : , :
28	assumption		⊢
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	assumption		⊢
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	assumption		⊢
^*equality replacement requirements