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2023-05-19 18:00
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feat: port Analysis.NormedSpace.AffineIsometry (
#3651
)
Estimated changes
Modified
Mathlib.lean
Created
Mathlib/Analysis/NormedSpace/AffineIsometry.lean
added
theorem
AffineIsometry.coeFn_injective
added
theorem
AffineIsometry.coe_comp
added
theorem
AffineIsometry.coe_id
added
theorem
AffineIsometry.coe_mul
added
theorem
AffineIsometry.coe_one
added
theorem
AffineIsometry.coe_toAffineMap
added
def
AffineIsometry.comp
added
theorem
AffineIsometry.comp_assoc
added
theorem
AffineIsometry.comp_continuous_iff
added
theorem
AffineIsometry.comp_id
added
theorem
AffineIsometry.diam_image
added
theorem
AffineIsometry.diam_range
added
theorem
AffineIsometry.dist_map
added
theorem
AffineIsometry.ediam_image
added
theorem
AffineIsometry.ediam_range
added
theorem
AffineIsometry.edist_map
added
theorem
AffineIsometry.ext
added
def
AffineIsometry.id
added
theorem
AffineIsometry.id_apply
added
theorem
AffineIsometry.id_comp
added
theorem
AffineIsometry.id_toAffineMap
added
theorem
AffineIsometry.linear_eq_linearIsometry
added
theorem
AffineIsometry.map_eq_iff
added
theorem
AffineIsometry.map_ne
added
theorem
AffineIsometry.map_vadd
added
theorem
AffineIsometry.map_vsub
added
theorem
AffineIsometry.nndist_map
added
theorem
AffineIsometry.toAffineMap_injective
added
structure
AffineIsometry
added
theorem
AffineIsometryEquiv.apply_symm_apply
added
theorem
AffineIsometryEquiv.coe_constVadd
added
theorem
AffineIsometryEquiv.coe_constVsub
added
theorem
AffineIsometryEquiv.coe_inv
added
theorem
AffineIsometryEquiv.coe_mk'
added
theorem
AffineIsometryEquiv.coe_mk
added
theorem
AffineIsometryEquiv.coe_mul
added
theorem
AffineIsometryEquiv.coe_one
added
theorem
AffineIsometryEquiv.coe_refl
added
theorem
AffineIsometryEquiv.coe_symm_trans
added
theorem
AffineIsometryEquiv.coe_toAffineEquiv
added
theorem
AffineIsometryEquiv.coe_toAffineIsometry
added
theorem
AffineIsometryEquiv.coe_toHomeomorph
added
theorem
AffineIsometryEquiv.coe_toIsometryEquiv
added
theorem
AffineIsometryEquiv.coe_trans
added
theorem
AffineIsometryEquiv.coe_vaddConst'
added
theorem
AffineIsometryEquiv.coe_vaddConst
added
theorem
AffineIsometryEquiv.coe_vaddConst_symm
added
theorem
AffineIsometryEquiv.comp_continuousOn_iff
added
theorem
AffineIsometryEquiv.comp_continuous_iff
added
def
AffineIsometryEquiv.constVadd
added
theorem
AffineIsometryEquiv.constVadd_zero
added
def
AffineIsometryEquiv.constVsub
added
theorem
AffineIsometryEquiv.diam_image
added
theorem
AffineIsometryEquiv.dist_map
added
theorem
AffineIsometryEquiv.dist_pointReflection_fixed
added
theorem
AffineIsometryEquiv.dist_pointReflection_self'
added
theorem
AffineIsometryEquiv.dist_pointReflection_self
added
theorem
AffineIsometryEquiv.dist_pointReflection_self_real
added
theorem
AffineIsometryEquiv.ediam_image
added
theorem
AffineIsometryEquiv.edist_map
added
theorem
AffineIsometryEquiv.ext
added
theorem
AffineIsometryEquiv.linearIsometryEquiv_mk'
added
theorem
AffineIsometryEquiv.linear_eq_linear_isometry
added
theorem
AffineIsometryEquiv.map_eq_iff
added
theorem
AffineIsometryEquiv.map_ne
added
theorem
AffineIsometryEquiv.map_vadd
added
theorem
AffineIsometryEquiv.map_vsub
added
def
AffineIsometryEquiv.mk'
added
def
AffineIsometryEquiv.pointReflection
added
theorem
AffineIsometryEquiv.pointReflection_apply
added
theorem
AffineIsometryEquiv.pointReflection_fixed_iff
added
theorem
AffineIsometryEquiv.pointReflection_involutive
added
theorem
AffineIsometryEquiv.pointReflection_midpoint_left
added
theorem
AffineIsometryEquiv.pointReflection_midpoint_right
added
theorem
AffineIsometryEquiv.pointReflection_self
added
theorem
AffineIsometryEquiv.pointReflection_symm
added
theorem
AffineIsometryEquiv.pointReflection_toAffineEquiv
added
theorem
AffineIsometryEquiv.range_eq_univ
added
def
AffineIsometryEquiv.refl
added
theorem
AffineIsometryEquiv.refl_trans
added
theorem
AffineIsometryEquiv.self_trans_symm
added
def
AffineIsometryEquiv.symm
added
theorem
AffineIsometryEquiv.symm_apply_apply
added
theorem
AffineIsometryEquiv.symm_constVsub
added
theorem
AffineIsometryEquiv.symm_symm
added
theorem
AffineIsometryEquiv.symm_trans_self
added
theorem
AffineIsometryEquiv.toAffineEquiv_injective
added
theorem
AffineIsometryEquiv.toAffineEquiv_refl
added
theorem
AffineIsometryEquiv.toAffineEquiv_symm
added
def
AffineIsometryEquiv.toAffineIsometry
added
def
AffineIsometryEquiv.toHomeomorph
added
theorem
AffineIsometryEquiv.toHomeomorph_refl
added
theorem
AffineIsometryEquiv.toHomeomorph_symm
added
def
AffineIsometryEquiv.toIsometryEquiv
added
theorem
AffineIsometryEquiv.toIsometryEquiv_refl
added
theorem
AffineIsometryEquiv.toIsometryEquiv_symm
added
def
AffineIsometryEquiv.trans
added
theorem
AffineIsometryEquiv.trans_assoc
added
theorem
AffineIsometryEquiv.trans_refl
added
def
AffineIsometryEquiv.vaddConst
added
theorem
AffineIsometryEquiv.vaddConst_toAffineEquiv
added
theorem
AffineIsometryEquiv.vadd_vsub
added
structure
AffineIsometryEquiv
added
theorem
AffineMap.continuous_linear_iff
added
theorem
AffineMap.isOpenMap_linear_iff
added
theorem
AffineSubspace.coe_subtypeₐᵢ
added
theorem
AffineSubspace.isometryEquivMap.apply_symm_apply
added
theorem
AffineSubspace.isometryEquivMap.coe_apply
added
theorem
AffineSubspace.isometryEquivMap.toAffineMap_eq
added
def
AffineSubspace.subtypeₐᵢ
added
theorem
AffineSubspace.subtypeₐᵢ_linear
added
theorem
AffineSubspace.subtypeₐᵢ_linearIsometry
added
theorem
AffineSubspace.subtypeₐᵢ_toAffineMap
added
theorem
LinearIsometry.coe_toAffineIsometry
added
def
LinearIsometry.toAffineIsometry
added
theorem
LinearIsometry.toAffineIsometry_linearIsometry
added
theorem
LinearIsometry.toAffineIsometry_toAffineMap
added
theorem
LinearIsometryEquiv.coe_toAffineIsometryEquiv
added
def
LinearIsometryEquiv.toAffineIsometryEquiv
added
theorem
LinearIsometryEquiv.toAffineIsometryEquiv_linearIsometryEquiv
added
theorem
LinearIsometryEquiv.toAffineIsometryEquiv_toAffineEquiv
added
theorem
LinearIsometryEquiv.toAffineIsometryEquiv_toAffineIsometry