Mathlib Map

Theorems · Theorem

Nonempty.map2

∀ {α : Sort u_3} {β : Sort u_4} {γ : Sort u_5} (f : α → β → γ), Nonempty α → Nonempty β → Nonempty γ
Defined in
Mathlib.Logic.Nonempty
Cited by
8 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
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Around this declaration

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

ContinuousMap.Homotopic.comp · cited by 4Homotopic.compContinuousMap.HomotopicRel.trans · cited by 2HomotopicRel.transContinuousMap.Homotopic.trans · cited by 1Homotopic.transPath.Homotopic.trans · cited by 1Homotopic.transPath.Homotopic.hcomp · cited by 1Homotopic.hcompIsMoritaEquivalent.trans · cited by 0IsMoritaEquivalent.transQuadraticMap.Equivalent.prod · cited by 0Equivalent.prodTopPair.Homotopic.equivalence · cited by 0Homotopic.equivalenceNonempty.map2CITED BYCITES

Cites0

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Cited by8

Results whose statement or proof uses this declaration.