Proof of proveit.physics.quantum.algebra.num_ket_eq theorem

import proveit
from proveit import defaults
theory = proveit.Theory() # the theorem's theory

%proving num_ket_eq

With these allowed/disallowed theorem/theory presumptions (e.g., to avoid circular dependencies), we begin our proof of
num_ket_eq:
(see dependencies)

num_ket_eq may now be readily provable (assuming required theorems are usable).  Simply execute "%qed".

defaults.assumptions = num_ket_eq.all_conditions()

defaults.assumptions:

j_eq_k = defaults.assumptions[0]

j_eq_k:

j_ket = num_ket_eq.instance_expr.instance_expr.lhs

j_ket:

j_eq_k.substitution(j_ket)

 ⊢  

%qed

proveit.physics.quantum.algebra.num_ket_eq has been proven.

	step type	requirements	statement
0	generalization	1	⊢
1	instantiation	2, 3	⊢
	: , : , :
2	axiom		⊢
	proveit.logic.equality.substitution
3	assumption		⊢