Metamath Proof Explorer


Theorem nfttrcl

Description: Bound variable hypothesis builder for transitive closure. (Contributed by Scott Fenton, 17-Oct-2024)

Ref Expression
Hypothesis nfttrcl.1
|- F/_ x R
Assertion nfttrcl
|- F/_ x t++ R

Proof

Step Hyp Ref Expression
1 nfttrcl.1
 |-  F/_ x R
2 1 a1i
 |-  ( T. -> F/_ x R )
3 2 nfttrcld
 |-  ( T. -> F/_ x t++ R )
4 3 mptru
 |-  F/_ x t++ R