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	generalization	1	, ⊢
1	instantiation	2, 3, 4, 5	, , ⊢
	: , : , : , :
2	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
3	instantiation	6, 10, 11, 12	⊢
	: , : , :
4	instantiation	7, 17, 8	⊢
	: , :
5	instantiation	9, 10, 11, 12, 13, 14, 15	, ⊢
	: , : , : , :
6	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
7	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
8	instantiation	16, 17, 18	⊢
	: , :
9	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
11	instantiation	21	⊢
	: , :
12	instantiation	19, 20	⊢
	:
13	instantiation	21	⊢
	: , :
14	assumption		⊢
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
17	instantiation	35, 23, 22	⊢
	: , : , :
18	instantiation	35, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22	instantiation	35, 26, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	35, 26, 27	⊢
	: , : , :
25	instantiation	35, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	35, 36, 30	⊢
	: , : , :
28	instantiation	31, 32, 33	⊢
	: , :
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
31	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
32	instantiation	35, 36, 34	⊢
	: , : , :
33	instantiation	35, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat4