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Question Number 215944 by mokys last updated on 22/Jan/25

if m,n,z ∈N so , m<n and z<m then z<n ?

ifm,n,zNso,m<nandz<mthenz<n?

Answered by MrGaster last updated on 22/Jan/25

∀m,n,z∈N  m<n&x<m  ⇒z<n

m,n,zNm<n&x<mz<n

Commented by mokys last updated on 22/Jan/25

i want prove by steps

iwantprovebysteps

Commented by MrGaster last updated on 22/Jan/25

Let others solve this request later.

Answered by mehdee7396 last updated on 22/Jan/25

n−m>0  &  m−z>0  ⇒(n−m)+(m−z)>0  ⇒n−z>0⇒n>z

nm>0&mz>0(nm)+(mz)>0nz>0n>z

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