Mathlib Map

Theorems · Theorem

Function.not_injective_const

∀ {α : Type u_4} {β : Type u_5} [Nontrivial α] {b : β}, ¬Function.Injective fun x => b
Defined in
Mathlib.Logic.Function.Basic
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Nontrivial
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Around this declaration

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

mdifferentiableWithinAt_of_mfderivWithin_injective · cited by 2mdifferentiableWithinAt_o…differentiableWithinAt_of_fderivWithin_injective · cited by 2differentiableWithinAt_of…Nontrivial · cited by 2416Nontrivialexists_pair_ne · cited by 32exists_pair_neFunction.not_injective_iff · cited by 6Function.not_injective_iffFunction.not_injective_constCITED BYCITES

Cites3

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

Cited by2

Results whose statement or proof uses this declaration.