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