Metamath Proof Explorer


Theorem csbconstgi

Description: The proper substitution of a class for a variable in another variable does not modify it, in inference form. (Contributed by Giovanni Mascellani, 30-May-2019)

Ref Expression
Hypothesis csbconstgi.1 ⊢ A ∈ V
Assertion csbconstgi ⊢ ⦋ A / x⦌ y = y

Proof

Step Hyp Ref Expression
1 csbconstgi.1 ⊢ A ∈ V
2 csbconstg ⊢ A ∈ V → ⦋ A / x⦌ y = y
3 1 2 ax-mp ⊢ ⦋ A / x⦌ y = y