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Theorems · Theorem

Function.eq_update_self_iff

∀ {α : Sort u} {β : α → Sort v} [inst : DecidableEq α] {f : (a : α) → β a} {a : α} {b : β a},
  f = Function.update f a b ↔ f a = b
Defined in
Mathlib.Logic.Function.Basic
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
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Around this declaration

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

Function.FactorizedRational.extractFactor · cited by 2FactorizedRational.extrac…Function.ne_update_self_iff · cited by 0Function.ne_update_self_i…Function.update · cited by 502Function.updateeq_comm_eq · cited by 17eq_comm_eqFunction.eq_update_self_iffCITED BYCITES

Cites2

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Cited by2

Results whose statement or proof uses this declaration.