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 _ x R
Assertion nfttrcl _ x t++ R

Proof

Step Hyp Ref Expression
1 nfttrcl.1 _ x R
2 1 a1i _ x R
3 2 nfttrcld _ x t++ R
4 3 mptru _ x t++ R