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Theorems · Theorem · order theory

OrderEmbedding.eq_iff_eq

∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] (f : α ↪o β) {a b : α}, f a = f b ↔ a = b
Defined in
Mathlib.Order.Hom.Basic
Cited by
4 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Assumes
PreorderPreorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SimpleGraph.edgeSet_inj · cited by 1SimpleGraph.edgeSet_injENat.toENNReal_inj · cited by 1ENat.toENNReal_injFinset.orderEmbOfFin_eq_orderEmbOfFin_iff · cited by 0Finset.orderEmbOfFin_eq_o…ContinuousMap.realToRCLike_inj · cited by 0ContinuousMap.realToRCLik…DFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderOrderEmbedding · cited by 619OrderEmbeddingRelEmbedding.injective · cited by 41RelEmbedding.injectiveOrderEmbedding.eq_iff_eqCITED BYCITES

Cites4

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Cited by4

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