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	⊢
	: , : , :
1	reference	12	⊢
2	reference	20	⊢
3	instantiation	5, 13, 6	⊢
	: , : , :
4	reference	14	⊢
5	theorem		⊢
	proveit.logic.equality.sub_left_side_into
6	instantiation	7, 8, 9	⊢
	: , : , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	10, 14, 13, 20, 11^*	⊢
	: , : , : , : , :
9	instantiation	12, 20, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
11	instantiation	15, 20, 16^*	⊢
	: , :
12	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.one_as_scalar_mult_id
13	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
14	instantiation	17, 18	⊢
	:
15	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
16	instantiation	19, 20	⊢
	:
17	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
19	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
20	instantiation	27, 21, 22	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	27, 23, 24	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	27, 25, 26	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	27, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements