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Theorems · Theorem

Equiv.mk.inj

∀ {α : Sort u_1} {β : Sort u_2} {toFun : α → β} {invFun : β → α}
  {left_inv : autoParam (Function.LeftInverse invFun toFun) Equiv.left_inv._autoParam}
  {right_inv : autoParam (Function.RightInverse invFun toFun) Equiv.right_inv._autoParam} {toFun_1 : α → β}
  {invFun_1 : β → α} {left_inv_1 : autoParam (Function.LeftInverse invFun_1 toFun_1) Equiv.left_inv._autoParam}
  {right_inv_1 : autoParam (Function.RightInverse invFun_1 toFun_1) Equiv.right_inv._autoParam},
  { toFun := toFun, invFun := invFun, left_inv := left_inv, right_inv := right_inv } =
      { toFun := toFun_1, invFun := invFun_1, left_inv := left_inv_1, right_inv := right_inv_1 } →
    toFun = toFun_1 ∧ invFun = invFun_1
Defined in
Mathlib.Logic.Equiv.Defs
Cited by
3 results in Mathlib
Foundations
Depth 15 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LinearEquiv.toEquiv_injective · cited by 4LinearEquiv.toEquiv_injec…CoalgEquiv.toEquiv_injective · cited by 3CoalgEquiv.toEquiv_inject…Equiv.mk.injEq · cited by 1mk.injEqEquiv · cited by 8337EquivEquiv.mk.noConfusion · cited by 2mk.noConfusionmk.injCITED BYCITES

Cites2

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Cited by3

Results whose statement or proof uses this declaration.