Theorem dfsub 233

Description: "Definition" of proper substitution. Or at least it would be, if I implemented proper substitution as a defined operator...

This simply sends the desired value Y along a temporary channel a, and then reads it to the desired name x.

Assertion

Ref	Expression
dfsub	⊦ ([x ≔ Y] 𝜑 ⧟ νz([z ≪ Y] 1 ⊗ [z ≫ x] 𝜑))

Distinct variable groups:   x,z   z,Y   𝜑,z

Proof of Theorem dfsub

Step	Hyp	Ref	Expression

Syntax hints:   ⧟ wlb 55  1wone 103   ⊗ wmc 105  nvar 203  [wse 204  [wre 205  νwnu 206  [wsub 207

 WARNING: This theorem has an incomplete proof.

This theorem is referenced by: (None)