Metamath Proof Explorer


Theorem parteq1i

Description: Equality theorem for partition, inference version. (Contributed by Peter Mazsa, 5-Oct-2021)

Ref Expression
Hypothesis parteq1i.1 R=S
Assertion parteq1i Could not format assertion : No typesetting found for |- ( R Part A <-> S Part A ) with typecode |-

Proof

Step Hyp Ref Expression
1 parteq1i.1 R=S
2 parteq1 Could not format ( R = S -> ( R Part A <-> S Part A ) ) : No typesetting found for |- ( R = S -> ( R Part A <-> S Part A ) ) with typecode |-
3 1 2 ax-mp Could not format ( R Part A <-> S Part A ) : No typesetting found for |- ( R Part A <-> S Part A ) with typecode |-