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	reference	7	⊢
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	7, 8, 9	, ⊢
	: , : , :
4	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
5	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
6	instantiation	10, 11	⊢
	: , :
7	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
8	instantiation	12, 16, 13, 29, 14^*	⊢
	: , : , :
9	instantiation	15, 16, 17, 26, 18, 19, 20	, ⊢
	: , : , : , :
10	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
12	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_cart_exps_within_cart_exp
13	instantiation	21	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_3
15	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
17	instantiation	21	⊢
	: , :
18	instantiation	21	⊢
	: , :
19	modus ponens	22, 23	⊢
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22	instantiation	24, 25, 26	⊢
	: , : , : , : , : , :
23	generalization	27	⊢
24	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
26	instantiation	28, 29	⊢
	:
27	assumption		⊢
28	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
^*equality replacement requirements