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Theorems · Theorem · ring theory

NonUnitalSubring.prod_mono

∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S]
  ⦃s₁ s₂ : NonUnitalSubring R⦄, s₁ ≤ s₂ → ∀ ⦃t₁ t₂ : NonUnitalSubring S⦄, t₁ ≤ t₂ → s₁.prod t₁ ≤ s₂.prod t₂
Defined in
Mathlib.RingTheory.NonUnitalSubring.Basic
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRing
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Around this declaration

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NonUnitalSubring.prod_mono_left · cited by 0NonUnitalSubring.prod_mon…NonUnitalSubring.prod_mono_right · cited by 0NonUnitalSubring.prod_mon…NonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringSet.prod_mono · cited by 52Set.prod_monoNonUnitalSubring.prod · cited by 9NonUnitalSubring.prodNonUnitalSubring.prod_monoCITED BYCITES

Cites4

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Cited by2

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