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	modus ponens	1, 2	, , , , , , ⊢
1	instantiation	11, 3, 12, 14, 16, 19, 21, 20, 4, 5, 6^, 7^	, , , ⊢
	: , : , : , : , : , : , : , : , : , : , : , :
2	modus ponens	8, 9	, , , , , ⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
4	instantiation	28	⊢
	:
5	assumption		⊢
6	instantiation	10, 16, 19	⊢
	: , : , :
7	instantiation	10, 16, 21	⊢
	: , : , :
8	instantiation	11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24	, , , , ⊢
	: , : , : , : , : , : , : , : , : , : , : , :
9	assumption		⊢
10	axiom		⊢
	proveit.linear_algebra.tensors.unary_tensor_prod_def
11	theorem		⊢
	proveit.linear_algebra.tensors.remove_vec_on_both_sides_of_equality
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	27	⊢
	: , :
16	instantiation	25, 26	⊢
	:
17	instantiation	27	⊢
	: , :
18	instantiation	27	⊢
	: , :
19	assumption		⊢
20	assumption		⊢
21	assumption		⊢
22	assumption		⊢
23	instantiation	28	⊢
	:
24	assumption		⊢
25	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	axiom		⊢
	proveit.logic.equality.equals_reflexivity
^*equality replacement requirements