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^*	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
2	reference	13	⊢
3	reference	12	⊢
4	reference	19	⊢
5	instantiation	6, 7, 8	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	9, 10	⊢
	: , : , :
8	instantiation	11, 19, 12, 13	⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.substitution
10	instantiation	14, 19, 15^*	⊢
	: , :
11	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.one_as_scalar_mult_id
12	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
13	instantiation	16, 17	⊢
	:
14	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
15	instantiation	18, 19	⊢
	:
16	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
19	instantiation	26, 20, 21	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	26, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	26, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements