Theorem csbconstg

Description: Substitution doesn't affect a constant B (in which x does not occur). csbconstgf with distinct variable requirement. (Contributed by Alan Sare, 22-Jul-2012)

	Ref	Expression
Assertion	csbconstg	⊢ ( 𝐴 ∈ 𝑉 → ⦋ 𝐴 / 𝑥 ⦌ 𝐵 = 𝐵 )

Proof

Step	Hyp	Ref	Expression
1		nfcv	⊢ Ⅎ 𝑥 𝐵
2	1	csbconstgf	⊢ ( 𝐴 ∈ 𝑉 → ⦋ 𝐴 / 𝑥 ⦌ 𝐵 = 𝐵 )