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.linear_algebra.scalar_multiplication.scalar_mult_closure
2	instantiation	5, 10, 11, 12	⊢
	: , : , :
3	instantiation	6, 7, 8	, ⊢
	: , : , :
4	instantiation	9, 10, 11, 12, 13, 14, 15	, ⊢
	: , : , : , :
5	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
6	theorem		⊢
	proveit.logic.equality.sub_left_side_into
7	instantiation	16, 23, 25	, ⊢
	: , :
8	instantiation	17, 18, 19	, ⊢
	: , :
9	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
11	instantiation	22	⊢
	: , :
12	instantiation	20, 21	⊢
	:
13	instantiation	22	⊢
	: , :
14	assumption		⊢
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
17	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
18	instantiation	36, 24, 23	⊢
	: , : , :
19	instantiation	36, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	36, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	36, 28, 29	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	36, 30, 31	⊢
	: , : , :
30	instantiation	32, 33, 34	⊢
	: , :
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
33	instantiation	36, 37, 35	⊢
	: , : , :
34	instantiation	36, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat4