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2024-04-18 14:41
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feat: add monotonicity theorems pertaining to the continuous functional calculus (
#12224
)
Estimated changes
Modified
Mathlib/Algebra/Algebra/Quasispectrum.lean
modified
theorem
NonnegSpectrumClass.iff_spectrum_nonneg
modified
theorem
spectrum_nonneg_of_nonneg
added
theorem
spectrum_subset_quasispectrum
Modified
Mathlib/Topology/ContinuousFunction/ContinuousMapZero.lean
added
theorem
ContinuousMapZero.le_def
Modified
Mathlib/Topology/ContinuousFunction/FunctionalCalculus.lean
added
theorem
algebraMap_le_cfc
added
theorem
cfcHom_le_iff
added
theorem
cfcHom_mono
added
theorem
cfcHom_nonneg_iff
added
theorem
cfc_cases
added
theorem
cfc_le_algebraMap
added
theorem
cfc_le_iff
added
theorem
cfc_le_one
added
theorem
cfc_mono
added
theorem
cfc_nonneg
added
theorem
cfc_nonneg_iff
added
theorem
cfc_nonpos
added
theorem
cfc_nonpos_iff
added
theorem
one_le_cfc
Modified
Mathlib/Topology/ContinuousFunction/NonUnitalFunctionalCalculus.lean
added
theorem
cfcₙHom_le_iff
added
theorem
cfcₙHom_mono
added
theorem
cfcₙHom_nonneg_iff
added
theorem
cfcₙ_cases
added
theorem
cfcₙ_le_iff
added
theorem
cfcₙ_mono
added
theorem
cfcₙ_nonneg
added
theorem
cfcₙ_nonneg_iff
added
theorem
cfcₙ_nonpos
added
theorem
cfcₙ_nonpos_iff