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, 5, 6, 7, 8, 9, 10^*	, , , , , , ⊢
	: , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_scalar_association
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	reference	28	⊢
4	instantiation	11	⊢
	: , : , :
5	reference	39	⊢
6	reference	40	⊢
7	reference	32	⊢
8	reference	15	⊢
9	reference	16	, , , ⊢
10	instantiation	12, 13, 14, 15, 16	, , , , , , ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	theorem		⊢
	proveit.physics.quantum.algebra.scalar_mult_factorization
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
14	instantiation	17, 18, 19	, , ⊢
	: , : , :
15	instantiation	41	⊢
	: , :
16	instantiation	20, 21, 22, 23, 24	, , , ⊢
	: , : , : , :
17	theorem		⊢
	proveit.logic.equality.sub_right_side_into
18	instantiation	38, 25, 32	, , ⊢
	: , :
19	instantiation	26, 27, 28, 29, 30, 31, 39, 40, 32	, , ⊢
	: , : , : , : , : , :
20	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
21	instantiation	33, 36	⊢
	:
22	instantiation	33, 35	⊢
	:
23	instantiation	34, 35, 36, 37	, , ⊢
	: , : , :
24	assumption		⊢
25	instantiation	38, 39, 40	, ⊢
	: , :
26	theorem		⊢
	proveit.numbers.multiplication.disassociation
27	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	instantiation	41	⊢
	: , :
32	assumption		⊢
33	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
34	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
35	assumption		⊢
36	assumption		⊢
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
39	assumption		⊢
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
^*equality replacement requirements