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	4, 5, 8, 7, 6, 10, 9, 12, 13, 11, 14	, , , ⊢
	: , : , : , : , : , : , : , : , :
3	instantiation	4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14	, , , ⊢
	: , : , : , : , : , : , : , : , :
4	theorem		⊢
	proveit.linear_algebra.addition.leftward_permutation
5	instantiation	15, 24	⊢
	:
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	instantiation	16	⊢
	: , :
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	20, 21, 17	⊢
	: , : , :
12	instantiation	20, 21, 18	⊢
	: , : , :
13	instantiation	20, 21, 19	⊢
	: , : , :
14	instantiation	20, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	assumption		⊢
18	assumption		⊢
19	assumption		⊢
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	23, 24, 25	⊢
	: , : , :
22	assumption		⊢
23	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
25	instantiation	26, 27	⊢
	: , :
26	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex