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