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	, , , , , ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	16, 4, 5, 6, 7, 22, 8, 24, 25, 26, 9	, , , , , ⊢
	: , : , : , : , : , : , : , : , : , :
3	instantiation	10, 11	, , , , ⊢
	: , : , :
4	instantiation	12, 40, 13	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	instantiation	14	⊢
	: , :
8	instantiation	14	⊢
	: , :
9	instantiation	15, 22, 17, 27	, ⊢
	: , : , : , :
10	axiom		⊢
	proveit.logic.equality.substitution
11	instantiation	16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27	, , , , ⊢
	: , : , : , : , : , : , : , : , : , :
12	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
16	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	instantiation	29	⊢
	: , : , :
21	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
22	instantiation	28, 37	⊢
	:
23	instantiation	29	⊢
	: , : , :
24	instantiation	33, 34, 30	⊢
	: , : , :
25	instantiation	33, 34, 31	⊢
	: , : , :
26	instantiation	33, 34, 32	⊢
	: , : , :
27	instantiation	33, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
30	assumption		⊢
31	assumption		⊢
32	assumption		⊢
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	36, 37, 38	⊢
	: , : , :
35	assumption		⊢
36	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
38	instantiation	39, 40	⊢
	: , :
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex