Theorems · Theorem
Equiv.mk.congr_simp
∀ {α : Sort u_1} {β : Sort u_2} (toFun toFun_1 : α → β) (e_toFun : toFun = toFun_1) (invFun invFun_1 : β → α)
(e_invFun : invFun = invFun_1) (left_inv : Function.LeftInverse invFun toFun)
(right_inv : Function.RightInverse invFun toFun),
{ toFun := toFun, invFun := invFun, left_inv := left_inv, right_inv := right_inv } =
{ toFun := toFun_1, invFun := invFun_1, left_inv := ⋯, right_inv := ⋯ }- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 54 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
Cited by54
Results whose statement or proof uses this declaration.
- LinearOrderedCommGroupWithZero.discrete_iff_not_denselyOrderedproof · cited by 4
- Equiv.optionSubtype_apply_symm_applyproof · cited by 4
- Equiv.piCongrLeft'_symmproof · cited by 4
- OnePoint.equivProjectivization_symm_apply_mkproof · cited by 3
- ProbabilityTheory.Kernel.partialTraj_eq_prodproof · cited by 3
- MvPolynomial.tensorEquivSum_X_tmul_oneproof · cited by 3
- MvPolynomial.tensorEquivSum_one_tmul_Xproof · cited by 3
- LinearIsometryEquiv.piLpCongrLeft_singleproof · cited by 2
- MeasureTheory.integral_fin_nat_prod_eq_prodproof · cited by 2
- Height.mulHeight_mul_mulHeightproof · cited by 2
- MvPolynomial.tensorEquivSum_X_tmul_Xproof · cited by 2
- FirstOrder.Ring.lift_genericPolyMapproof · cited by 2